4.6 Warm Up4.6 Warm Up

Do #5-8 on pg. 220Do #5-8 on pg. 220

4.6 (M1) Properties of 4.6 (M1) Properties of Special AnglesSpecial Angles

Vocabulary/PropertiesVocabulary/Properties Adjacent angles: share a Adjacent angles: share a

common vertex and side and common vertex and side and don’t overlapdon’t overlap

Linear Pair: 2 adjacent angles Linear Pair: 2 adjacent angles that together form a straight linethat together form a straight line

All right angles are congruentAll right angles are congruent

If 2 angles are supplementary to If 2 angles are supplementary to the same angle, then they are the same angle, then they are congruentcongruent

If 2 angles are complementary to If 2 angles are complementary to the same angle, then they are the same angle, then they are congruentcongruent

Vocabulary/PropertiesVocabulary/Properties

If 2 angles form a linear pair, If 2 angles form a linear pair, they are supplementary. (Linear they are supplementary. (Linear Pair Postulate)Pair Postulate)

Vertical angles are congruent.Vertical angles are congruent.• Opposite angles when you have Opposite angles when you have

intersecting linesintersecting lines

EXAMPLE 4 Standardized Test Practice

SOLUTION

Because TPQ and QPR form a linear pair, the sum of their measures is 180.

The correct answer is B.

ANSWER

GUIDED PRACTICE for Example 4

7. Solve for x.

Use the diagram in Example 4.

x = 49

ANSWER

GUIDED PRACTICE for Example 4

8. Find m TPS.

Use the diagram in Example 4.

m TPS = 148°

ANSWER