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4.6 Properties of Special Angles

4.6 Properties of Special Angles. What??? They are all special!. Vocabulary/Properties. Adjacent angles: share a common vertex and side and don’t overlap Linear Pair: 2 adjacent angles that together form a straight line All right angles are congruent

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4.6 Properties of Special Angles

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  1. 4.6 Properties of Special Angles What??? They are all special!

  2. Vocabulary/Properties • Adjacent angles: share a common vertex and side and don’t overlap • Linear Pair: 2 adjacent angles that together form a straight line • All right angles are congruent • If 2 angles are supplementary to the same angle, then they are congruent • If 2 angles are complementary to the same angle, then they are congruent

  3. Vocabulary/Properties • If 2 angles form a linear pair, they are supplementary. (Linear Pair Postulate) • Vertical angles are congruent. • Opposite angles when you have intersecting lines

  4. Because TPQand QPRform a linear pair, the sum of their measures is 180. ANSWER The correct answer is B. EXAMPLE 4 Standardized Test Practice SOLUTION

  5. ANSWER x = 49 for Example 4 GUIDED PRACTICE Use the diagram in Example 4. 7. Solve for x.

  6. 8. Find m TPS. m TPS = 148° ANSWER for Example 4 GUIDED PRACTICE Use the diagram in Example 4.

  7. With a partner, do #8-9 on p. 224

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