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Chapter 1.5

Chapter 1.5. Angle Relationships. Example 1. Identify Angle Pairs. A. ROADWAYS Name an angle pair that satisfies the condition two angles that form a linear pair. A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays.

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Chapter 1.5

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  1. Chapter 1.5 Angle Relationships

  2. Example 1 Identify Angle Pairs A. ROADWAYS Name an angle pair that satisfies the condition two angles that form a linear pair. A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays. Sample Answers:PIQ and QIS, PIT and TIS, QIU and UIT

  3. Example 1 Identify Angle Pairs B. ROADWAYS Name an angle pair that satisfies the condition two acute vertical angles. Sample Answers:PIU and RIS, PIQ and TIS, QIR and TIU

  4. Example 1a A. Name two adjacent angles whose sum is less than 90. A.CAD and DAE B.FAE and FAN C.CAB and NAB D.BAD and DAC

  5. Example 1b B. Name two acute vertical angles. A.BAN and EAD B.BAD and BAN C.BAC and CAE D.FAN and DAC

  6. Angle Measure ALGEBRA Find the measures of two supplementary angles if the measure of one angle is 6 less than five times the measure of the other angle. UnderstandThe problem relates the measures of two supplementary angles. You know that the sum of the measures of supplementary angles is 180. Plan Draw two figures to represent the angles.

  7. ALGEBRA Find the measures of two complementary angles if one angle measures six degrees less than five times the measure of the other. A. 1°, 1° B. 21°, 111° C. 16°, 74° D. 14°, 76°

  8. Concept

  9. Perpendicular Lines Find x and y so that KO and HM are perpendicular.

  10. A.x = 5 B.x = 10 C.x = 15 D.x = 20

  11. Concept

  12. Interpret Figures A. Determine whether the following statement can be justified from the figure below. Explain. mVYT = 90

  13. Interpret Figures B. Determine whether the following statement can be justified from the figure below. Explain. TYW andTYU are supplementary. Answer: Yes, they form a linear pair of angles.

  14. Interpret Figures C. Determine whether the following statement can be justified from the figure below. Explain. VYW andTYS are adjacent angles. Answer: No, they do not share a common side.

  15. B. Determine whether the statement TAU iscomplementarytoUAY can be assumed from the figure. A. yes B. no

  16. C. Determine whether the statement UAX isadjacenttoUXA can be assumed from the figure. A. yes B. no

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