Use Angle Relationships to Find Missing Angles

Front

What is the definition of supplementary angles?

Back

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

Front

If angle A measures 70 degrees, what is the measure of its supplementary angle?

Back

The supplementary angle measures 110 degrees (180 - 70 = 110).

Front

What is the measure of angle B if it is given that ∠B = 82°?

Back

Angle B measures 82 degrees.

Front

If angle C measures 116 degrees, what is the measure of its supplementary angle?

Back

The supplementary angle measures 64 degrees (180 - 116 = 64).

Front

What is the relationship between complementary angles?

Back

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

Front

If angle D measures 45 degrees, what is the measure of its complementary angle?

Back

The complementary angle measures 45 degrees (90 - 45 = 45).

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 angle E measures 30 degrees and angle F measures 60 degrees, what is the measure of angle G in triangle EFG?

Back

Angle G measures 90 degrees (30 + 60 + G = 180, so G = 90).

Front

What is the definition of 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 and one measures 120 degrees, what is the measure of the other angle?

Back

The other angle also measures 120 degrees.