Angle Relationships Review

Front

What are complementary angles?

Back

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

Front

If angle A is 4 degrees greater than angle B and they are complementary, how can we express this relationship mathematically?

Back

Let angle B be x degrees. Then angle A can be expressed as (x + 4) degrees. The equation is: x + (x + 4) = 90.

Front

What is the measure of angle A if angle B is 43 degrees?

Back

Angle A is 47 degrees, since A = B + 4.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

If two angles are vertical angles, what can we say about their measures?

Back

The measures of vertical angles are equal.

Front

Solve for x: 2x + 4 = 32.

Back

x = 14.

Front

What is the sum of the measures of angles in a triangle?

Back

The sum of the measures of angles in a triangle is always 180 degrees.

Front

If one angle in a triangle measures 72 degrees and another measures 48 degrees, what is the measure of the third angle?

Back

The third angle measures 60 degrees, since 180 - (72 + 48) = 60.

Front

What is the relationship between supplementary angles?

Back

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

Front

If angle C is 72 degrees, what is the measure of its supplementary angle?

Back

The supplementary angle is 108 degrees, since 180 - 72 = 108.