Math Practice Problems - Angle Measurements

Angle Measurements - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=1, Mode=comp

Solve for the missing angle(s).
Figures are not drawn to scale.

1. If m∠A = 43°, what is m∠B?

m∠B = °

2. What is the complement of an angle that measures 33°? °

Complexity=1, Mode=supp

Solve for the missing angle(s).
Figures are not drawn to scale.

1. ∠A and ∠B are supplementary angles. If m∠B= 50°,
what is m∠A? °

2. What is the supplement of an angle that measures 60°? °

Complexity=1, Mode=vert

Solve for the missing angle(s).
Figures are not drawn to scale.

1. In the figure below, two lines intersect to form ∠A,
∠B, ∠C, and ∠D.

If m∠C = 60°, what is m∠A? °

2. ∠A and ∠B are vertical angles. If m∠B= 165°,
what is m∠A? °

Complexity=1

Solve for the missing angle(s).
Figures are not drawn to scale.

1. What is the complement of an angle that measures 63°? °

2. In the figure below, two lines intersect to form ∠A,
∠B, ∠C, and ∠D.

If m∠D = 145°, find the missing angles.
m∠A = °
m∠B = °
m∠C = °

Answers

Complexity=1, Mode=comp

Solve for the missing angle(s).
Figures are not drawn to scale.

Problem

Correct Answer

Your Answer

If m∠A = 43°, what is m∠B?

m∠B = °

Solution
∠A and ∠B are complementary angles which means they add up to 90°.

m∠A + m∠B	=	90°
m∠B	=	90° - m∠A
m∠B	=	90° - 43° = 47°

#	Problem	Correct Answer	Your Answer
2	What is the complement of an angle that measures 33°?	°
Solution Complementary angles add up to 90°.

Complexity=1, Mode=supp

Solve for the missing angle(s).
Figures are not drawn to scale.

Problem

Correct Answer

Your Answer

∠A and ∠B are supplementary angles. If m∠B= 50°,
what is m∠A?

Solution
∠B and ∠A are supplementary angles which means they add up to 180°.

m∠B + m∠A	=	180°
m∠A	=	180° - m∠B
m∠A	=	180° - 50° = 130°

#	Problem	Correct Answer	Your Answer
2	What is the supplement of an angle that measures 60°?	°
Solution Supplementary angles add up to 180°.

Complexity=1, Mode=vert

Solve for the missing angle(s).
Figures are not drawn to scale.

Problem

Correct Answer

Your Answer

In the figure below, two lines intersect to form ∠A,
∠B, ∠C, and ∠D.

If m∠C = 60°, what is m∠A?

Solution
∠C and ∠A are vertical angles which means they are equal.
m∠C = m∠A = 60°

#	Problem	Correct Answer	Your Answer
2	∠A and ∠B are vertical angles. If m∠B= 165°, what is m∠A?	°
Solution ∠B and ∠A are vertical angles which means they are equal. m∠B = m∠A = 165°

Complexity=1

Solve for the missing angle(s).
Figures are not drawn to scale.

#	Problem	Correct Answer	Your Answer
1	What is the complement of an angle that measures 63°?	°
Solution Complementary angles add up to 90°.

Problem

Correct Answer

Your Answer

In the figure below, two lines intersect to form ∠A,
∠B, ∠C, and ∠D.

If m∠D = 145°, find the missing angles.

m∠A = °
m∠B = °
m∠C = °

Solution

∠D and ∠A are supplementary angles which means they add up to 180°.

m∠D + m∠A = 180°

m∠A = 180° - m∠D

m∠A = 180° - 145° = 35°

∠D and ∠B are vertical angles which means they are equal.
m∠D = m∠B = 145°

∠D and ∠C are supplementary angles which means they add up to 180°.

m∠D + m∠C = 180°

m∠C = 180° - m∠D

m∠C = 180° - 145° = 35°

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