Using Angle Addition Postulate

Front

What is the Angle Addition Postulate?

Back

The Angle Addition Postulate states that if point B is in the interior of angle AOC, then m∠AOB + m∠BOC = m∠AOC.

Front

Calculate m∠ABC if m∠ABD = 60° and m∠DBC = 45°.

Back

m∠ABC = m∠ABD + m∠DBC = 60° + 45° = 105°.

Front

If m∠RST = (12x - 1)° and m∠RSU = (9x - 15)°, find x if m∠UST = 53°.

Back

Set up the equation: (12x - 1) + (9x - 15) + 53 = 180. Solve for x = 13.

Front

What is another name for ∠H if it is part of triangle KGH?

Back

∠LHG is another name for ∠H.

Front

If m∠RST = 155° and m∠RSU = 102°, what is m∠UST?

Back

Using the Angle Addition Postulate: m∠UST = m∠RST + m∠RSU - 180° = 155° + 102° - 180° = 77°.

Front

Define complementary angles.

Back

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

Front

Define supplementary angles.

Back

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

Front

If m∠RST = 12x - 1 and m∠RSU = 9x - 15, find m∠RST when x = 13.

Back

m∠RST = 12(13) - 1 = 155°.

Front

What is the measure of an angle if it is complementary to 30°?

Back

The measure of the angle is 60° because 90° - 30° = 60°.

Front

What is the measure of an angle if it is supplementary to 75°?

Back

The measure of the angle is 105° because 180° - 75° = 105°.