1.4 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 ∠AOC, then m∠AOB + m∠BOC = m∠AOC.

Front

What are complementary angles?

Back

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

Front

What are supplementary angles?

Back

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

Front

If m∠1 + m∠2 = 90°, what can we say about ∠1 and ∠2?

Back

∠1 and ∠2 are complementary angles.

Front

If m∠1 + m∠2 = 180°, what can we say about ∠1 and ∠2?

Back

∠1 and ∠2 are supplementary angles.

Front

What is a linear pair of angles?

Back

A linear pair of angles is a pair of adjacent angles formed when two lines intersect, and their non-common sides form a straight line.

Front

If ∠1 and ∠2 form a linear pair, what is the relationship between their measures?

Back

The measures of ∠1 and ∠2 add up to 180 degrees.

Front

Calculate m∠K if m∠K + m∠L = 90° and m∠L = 30°.

Back

m∠K = 60°.

Front

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

Back

x = 13.

Front

If m∠K = (3x + 3)° and m∠L = (10x - 4)°, and they are complementary, find m∠K and m∠L.

Back

m∠K = 24° and m∠L = 66°.