Angle Relationships

Front

What are complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

If two angles are complementary and one angle is twice the measure of the other, what is the relationship between their measures?

Back

Let the smaller angle be x. Then the larger angle is 2x. The equation is x + 2x = 90, leading to x = 30 degrees (smaller angle) and 60 degrees (larger angle).

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

If two angles are supplementary and one angle is four times the measure of the other, how can you express their measures?

Back

Let the smaller angle be x. Then the larger angle is 4x. The equation is x + 4x = 180, leading to x = 36 degrees (smaller angle) and 144 degrees (larger angle).

Front

What is the measure of an angle if it is 18 degrees less than its complement?

Back

Let the angle be x. Its complement is 90 - x. The equation is x = (90 - x) - 18, leading to x = 36 degrees.

Front

How do you find the measure of an angle if you know its supplement?

Back

If the supplement of an angle is known, subtract that measure from 180 degrees to find the angle.

Front

What is the measure of angle HJL if it is given as 112 degrees?

Back

Angle HJL measures 112 degrees.

Front

What is the measure of angle CAD if it is given as 18 degrees?

Back

Angle CAD measures 18 degrees.

Front

If angle A is 45 degrees, what is the measure of its complement?

Back

The complement of angle A is 90 - 45 = 45 degrees.

Front

If angle B is 120 degrees, what is the measure of its supplement?

Back

The supplement of angle B is 180 - 120 = 60 degrees.