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

If two angles are supplementary, what is the sum of their measures?

Back

The sum of the measures of two supplementary angles is 180°.

Front

Calculate m∠1 if m∠1 = (5x + 9)° and m∠2 = (3x + 11)° are supplementary angles.

Back

m∠1 = 109°.

Front

Calculate m∠2 if m∠1 = (5x + 9)° and m∠2 = (3x + 11)° are supplementary angles.

Back

m∠2 = 71°.

Front

If m∠NML = 138° and m∠EML = 88°, how do you find m∠NME?

Back

Use the equation m∠NME = 180° - (m∠NML + m∠EML). Thus, m∠NME = 50°.

Front

What is the measure of a straight angle?

Back

A straight angle measures 180°.

Front

What is the measure of a right angle?

Back

A right angle measures 90°.

Front

If m∠ABC = 105°, what is the measure of its complement?

Back

The complement of m∠ABC is 75° (90° - 105° is not possible, so it has no complement).

Front

What is the relationship between complementary angles?

Back

Two angles are complementary if the sum of their measures is 90°.

Front

What is the equation for the Angle Addition Postulate in terms of angles FGB, BGH, and FGH?

Back

m∠FGB + m∠BGH = m∠FGH.