Practice
Angles Practice
Fifty original questions on angle notation, classification, addition, bisectors, vertical angles, complementary and supplementary relationships, and multi-step reasoning.
- Answered
- 0 / 50
- Correct
- 0
- Incorrect
- 0
- Accuracy
- 0%
Question 1
Explanation
Because \(27^\circ\) falls in the acute range, the angle is acute.
- Reasoning
Compare the measure with the exact 90-degree and 180-degree boundaries.
Question 2
Explanation
Because \(90^\circ\) falls in the right range, the angle is right.
- Reasoning
Compare the measure with the exact 90-degree and 180-degree boundaries.
Question 3
Explanation
Because \(143^\circ\) falls in the obtuse range, the angle is obtuse.
- Reasoning
Compare the measure with the exact 90-degree and 180-degree boundaries.
Question 4
Explanation
Because \(180^\circ\) falls in the straight range, the angle is straight.
- Reasoning
Compare the measure with the exact 90-degree and 180-degree boundaries.
Question 5
Explanation
The middle letter of a three-letter angle name is the vertex.
- Reasoning
Circle the middle letter before reading the rays.
Question 6
Explanation
The common endpoint Q must appear in the middle.
- Reasoning
Put the shared ray endpoint in the middle of the angle name.
Question 7
Explanation
The common endpoint of the rays is the vertex.
- Reasoning
Associate angle construction with two rays sharing one endpoint.
Question 8
Explanation
The two adjacent interior parts add to the whole angle.
- Reasoning
Identify the whole angle by its outer rays.
Question 9
Explanation
An angle bisector divides the whole into two congruent angles.
- Reasoning
Translate bisects to equal angle measures.
Question 10
Explanation
Vertical angles are the opposite angle pair and have equal measures.
- Reasoning
Look across the intersection, not beside it.
Question 11
Explanation
Complementary angle measures total 90 degrees.
- Reasoning
Connect complementary with a completed right angle.
Question 12
Explanation
Supplementary angle measures total 180 degrees.
- Reasoning
Connect supplementary with a completed straight angle.
Question 13
Explanation
Complementary describes a sum, not required placement.
- Reasoning
Separate numeric relationship from spatial arrangement.
Question 14
Explanation
Supplementary angles are defined by a 180-degree sum, whether adjacent or not.
- Reasoning
Use the definition, not the appearance.
Question 15
Explanation
A square marker denotes a right angle.
- Reasoning
Treat standard geometry marks as exact data.
Question 16
Explanation
Angle addition gives \(22^\circ+37^\circ=59^\circ\).
- Reasoning
Add the two nonoverlapping interior parts.
Question 17
Explanation
Angle addition gives \(31^\circ+46^\circ=77^\circ\).
- Reasoning
Add the two nonoverlapping interior parts.
Question 18
Explanation
Angle addition gives \(18^\circ+55^\circ=73^\circ\).
- Reasoning
Add the two nonoverlapping interior parts.
Question 19
Explanation
Angle addition gives \(43^\circ+29^\circ=72^\circ\).
- Reasoning
Add the two nonoverlapping interior parts.
Question 20
Explanation
Angle addition gives \(26^\circ+68^\circ=94^\circ\).
- Reasoning
Add the two nonoverlapping interior parts.
Question 21
Explanation
Angle addition gives \(51^\circ+34^\circ=85^\circ\).
- Reasoning
Add the two nonoverlapping interior parts.
Question 22
Explanation
Complementary measures sum to 90 degrees, so \(90-19=71\).
- Reasoning
Subtract the known angle from 90.
Question 23
Explanation
Complementary measures sum to 90 degrees, so \(90-28=62\).
- Reasoning
Subtract the known angle from 90.
Question 24
Explanation
Complementary measures sum to 90 degrees, so \(90-36=54\).
- Reasoning
Subtract the known angle from 90.
Question 25
Explanation
Complementary measures sum to 90 degrees, so \(90-47=43\).
- Reasoning
Subtract the known angle from 90.
Question 26
Explanation
Supplementary measures sum to 180 degrees, so \(180-38=142\).
- Reasoning
Subtract the known angle from 180.
Question 27
Explanation
Supplementary measures sum to 180 degrees, so \(180-57=123\).
- Reasoning
Subtract the known angle from 180.
Question 28
Explanation
Supplementary measures sum to 180 degrees, so \(180-74=106\).
- Reasoning
Subtract the known angle from 180.
Question 29
Explanation
Supplementary measures sum to 180 degrees, so \(180-119=61\).
- Reasoning
Subtract the known angle from 180.
Question 30
Explanation
Vertical angles are congruent. Equating the expressions gives \(x=17\), and substitution gives \(56^\circ\).
- Reasoning
Set opposite-angle expressions equal, solve, then evaluate an angle.
Question 31
Explanation
Vertical angles are congruent. Equating the expressions gives \(x=25\), and substitution gives \(107^\circ\).
- Reasoning
Set opposite-angle expressions equal, solve, then evaluate an angle.
Question 32
Explanation
Vertical angles are congruent. Equating the expressions gives \(x=21\), and substitution gives \(108^\circ\).
- Reasoning
Set opposite-angle expressions equal, solve, then evaluate an angle.
Question 33
Explanation
Vertical angles are congruent. Equating the expressions gives \(x=19\), and substitution gives \(115^\circ\).
- Reasoning
Set opposite-angle expressions equal, solve, then evaluate an angle.
Question 34
Explanation
Vertical angles are congruent. Equating the expressions gives \(x=14\), and substitution gives \(100^\circ\).
- Reasoning
Set opposite-angle expressions equal, solve, then evaluate an angle.
Question 35
Explanation
An angle bisector creates two equal halves, so \(52/2=26\) degrees.
- Reasoning
Divide the whole angle by 2.
Question 36
Explanation
An angle bisector creates two equal halves, so \(68/2=34\) degrees.
- Reasoning
Divide the whole angle by 2.
Question 37
Explanation
An angle bisector creates two equal halves, so \(84/2=42\) degrees.
- Reasoning
Divide the whole angle by 2.
Question 38
Explanation
An angle bisector creates two equal halves, so \(96/2=48\) degrees.
- Reasoning
Divide the whole angle by 2.
Question 39
Explanation
An angle bisector creates two equal halves, so \(118/2=59\) degrees.
- Reasoning
Divide the whole angle by 2.
Question 40
Explanation
An angle bisector creates two equal halves, so \(146/2=73\) degrees.
- Reasoning
Divide the whole angle by 2.
Question 41
Explanation
The vertical angle is 47 degrees; each adjacent linear-pair angle is \(180-47=133\) degrees.
- Reasoning
Copy across vertically, then supplement beside.
Question 42
Explanation
The parts sum to 90: \(3x+6+5x+4=90\), so \(8x=80\) and \(x=10\).
- Reasoning
Use the right-angle marker to set the sum equal to 90.
Question 43
Explanation
Equality gives \(2x+18=5x-27\), so \(x=15\) and each vertical angle is 48 degrees. An adjacent angle is \(180-48=132\) degrees.
- Reasoning
Solve the vertical pair first, then use a straight-angle supplement.
Question 44
Explanation
The whole is twice one half: \(8x-2=2(3x+9)\), so \(2x=20\) and \(x=10\). Therefore the whole is \(8(10)-2=78^\circ\).
- Reasoning
Set the whole equal to twice one bisected part, then evaluate.
Question 45
Explanation
Nine ratio parts total 180 degrees, so each part is 20 degrees and the larger angle is \(7(20)=140\) degrees.
- Reasoning
Convert the ratio to nine equal parts of a straight-angle sum.
Question 46
Explanation
Let the smaller be x and larger x+18. Then \(2x+18=90\), so \(x=36\) and the larger is 54 degrees.
- Reasoning
Use sum 90 and the stated difference in one equation.
Question 47
Explanation
Vertical angles are congruent, so their expressions are equal; adjacent linear-pair angles would sum to 180.
- Reasoning
Identify whether the pair is opposite or adjacent.
Question 48
Explanation
The three parts sum to 180: \(38+2x+6+4x+4=180\), so \(6x+48=180\) and \(x=22\).
- Reasoning
Add every adjacent part once and set the total to 180.
Question 49
Explanation
The whole is \(2(58)=116^\circ\), which lies between 90 and 180 degrees.
- Reasoning
Double one part, then classify the resulting whole measure.
Question 50
Explanation
An ordinary interior angle in this lesson cannot have a negative measure.
- Reasoning
Use geometric range constraints to validate algebra.
Keyboard: use Tab to move, arrow keys to change answer choices, and Enter to check an answer.
Your practice summary
Use the results to decide what to review before your next attempt.
- Correct
- 0
- Incorrect
- 0
- Completed
- 50 / 50
Questions to review
No mistakes this time. Excellent work.
- Question 1Angle classificationEasy
- Question 2Angle classificationEasy
- Question 3Angle classificationEasy
- Question 4Angle classificationEasy
- Question 5Angle notationEasy
- Question 6Angle notationEasy
- Question 7Angle vocabularyEasy
- Question 8Angle Addition PostulateEasy
- Question 9Angle bisectorEasy
- Question 10Vertical anglesEasy
- Question 11Complementary anglesEasy
- Question 12Supplementary anglesEasy
- Question 13Complementary anglesEasy
- Question 14Supplementary anglesEasy
- Question 15Diagram interpretationEasy
- Question 16Angle additionMedium
- Question 17Angle additionMedium
- Question 18Angle additionMedium
- Question 19Angle additionMedium
- Question 20Angle additionMedium
- Question 21Angle additionMedium
- Question 22Complementary anglesMedium
- Question 23Complementary anglesMedium
- Question 24Complementary anglesMedium
- Question 25Complementary anglesMedium
- Question 26Supplementary anglesMedium
- Question 27Supplementary anglesMedium
- Question 28Supplementary anglesMedium
- Question 29Supplementary anglesMedium
- Question 30Algebra with vertical anglesMedium
- Question 31Algebra with vertical anglesMedium
- Question 32Algebra with vertical anglesMedium
- Question 33Algebra with vertical anglesMedium
- Question 34Algebra with vertical anglesMedium
- Question 35Angle bisectorMedium
- Question 36Angle bisectorMedium
- Question 37Angle bisectorMedium
- Question 38Angle bisectorMedium
- Question 39Angle bisectorMedium
- Question 40Angle bisectorMedium
- Question 41Multiple intersecting anglesHard
- Question 42Angle addition and right anglesHard
- Question 43Vertical and supplementary anglesHard
- Question 44Angle bisector algebraHard
- Question 45Supplementary ratiosHard
- Question 46Complementary algebraHard
- Question 47Error analysisHard
- Question 48Multi-part angle additionHard
- Question 49Bisector and classificationHard
- Question 50Solution validationHard