Question 1

If two angles are complementary and one angle measures $$x$$, what is the measure of the other angle in terms of $$x$$?

Accepted Answer

$$90^\circ - x$$

Question 2

Which of the following pairs of angles are supplementary?

Accepted Answer

$$110^\circ$$ and $$70^\circ$$

Question 3

A right triangle has two non-right angles. What is always true about these two angles?

Accepted Answer

They are complementary.

Question 4

If the supplement of an angle is $$130^\circ$$, what is the measure of the angle?

Accepted Answer

$$50^\circ$$

Question 5

Which equation correctly represents the relationship between two supplementary angles $$x$$ and $$y$$?

Accepted Answer

$$x + y = 180^\circ$$

Question 6

If one angle is $$x$$ and its complement is $$2x$$, what is the value of $$x$$?

Accepted Answer

$$30^\circ$$

Question 7

A straight angle is split into two angles, one measuring $$3x$$ and the other $$2x. $$What is the value of $$x$$?

Accepted Answer

$$36^\circ$$

Question 8

If the complement of an angle is $$x$$ and the supplement is $$y$$, which equation is correct?

Accepted Answer

$$x + y = 120^\circ$$

Question 9

A triangle has angles $$x$$, $$2x$$, and $$3x. $$What is the value of $$x$$?

Accepted Answer

$$30^\circ$$

Question 10

If two angles are supplementary and one is $$4$$ times the other, what are the measures of the two angles?

Accepted Answer

$$36^\circ$$ and $$144^\circ$$

Question 11

Which of the following statements is true about complementary angles?

Accepted Answer

Their sum is $$90^\circ.$$

Question 12

If $$x$$ and $$y$$ are complementary angles and $$x = 2y$$, what is the value of $$y$$?

Accepted Answer

$$30^\circ$$

Question 13

A real-world scenario: A ladder leans against a wall making a $$65^\circ$$ angle with the ground. What is the measure of the angle between the ladder and the wall?

Accepted Answer

$$25^\circ$$

Question 14

If the supplement of an angle is twice its complement, what is the measure of the angle?

Accepted Answer

$$60^\circ$$

Question 15

In a triangle, one angle is $$90^\circ$$ and another is $$x. $$What is the measure of the third angle?

Accepted Answer

$$90^\circ - x$$

Complementary and Supplementary Angles: Definitions, Properties, and Problem Solving

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