Angle Relationships

Front

What is the definition of complementary angles?

Back

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

Front

What is the definition of supplementary angles?

Back

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

Front

If m∠AOB = 32° and m∠BOC = 17°, how do you find m∠AOC?

Back

To find m∠AOC, add m∠AOB and m∠BOC: m∠AOC = m∠AOB + m∠BOC = 32° + 17° = 49°.

Front

What is the measure of the complement of an angle measuring 30°?

Back

The complement of 30° is 60°, since 90° - 30° = 60°.

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

What is the relationship between vertical angles?

Back

Vertical angles are equal; when two lines intersect, the opposite angles formed are congruent.

Front

How do you find the measure of a missing angle if you know the other angles in a triangle?

Back

Subtract the sum of the known angles from 180° to find the measure of the missing angle.

Front

What is the measure of the missing angle if one angle is 47° and the other is 53°?

Back

The missing angle is 180° - (47° + 53°) = 80°.

Front

What is the definition of adjacent angles?

Back

Adjacent angles are two angles that share a common side and a common vertex but do not overlap.

Front

If two angles are supplementary and one angle measures 89°, what is the measure of the other angle?

Back

The other angle measures 180° - 89° = 91°.