Segment Addition & Angle Addition

Front

What is the Segment Addition Postulate?

Back

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

Front

Define 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

What does it mean for two angles to be complementary?

Back

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

Front

What does it mean for two angles to be supplementary?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Front

Back

Combine like terms: 3x + 15 = 33. Then, subtract 15 from both sides: 3x = 18. Finally, divide by 3: x = 6.

Front

What is the formula for finding the measure of an angle when given its complementary angle?

Back

If angle A is complementary to angle B, then m∠A + m∠B = 90 degrees. Thus, m∠A = 90 - m∠B.

Front

What is the formula for finding the measure of an angle when given its supplementary angle?

Back

If angle A is supplementary to angle B, then m∠A + m∠B = 180 degrees. Thus, m∠A = 180 - m∠B.

Front

How do you set up an equation for the lengths of segments?

Back

Use the Segment Addition Postulate: If segments AB, BC, and AC are involved, then AB + BC = AC.

Front

Back

Combine like terms on the left side: 14x + 2 = 14x + 2.

Front

Back

Combine like terms: 13x + 24 = 180. Then, subtract 24 from both sides: 13x = 156. Finally, divide by 13: x = 12.