2. Welcome to Interactive Chalkboard Glencoe Geometry Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Developed by FSCreations, Inc., Cincinnati, Ohio 45202 Send all inquiries to: GLENCOE DIVISION Glencoe/McGraw-Hill 8787 Orion Place Columbus, Ohio 43240

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4. Contents Lesson 1-1Points, Lines, and Planes Lesson 1-2Linear Measure and Precision Lesson 1-3Distance and Midpoints Lesson 1-4Angle Measure Lesson 1-5Angle Relationships Lesson 1-6Polygons

5. Lesson 5 Contents Example 1Identify Angle Pairs Example 2Angle Measure Example 3Perpendicular Lines Example 4Interpret Figures

6. Example 5-1a Name two angles that form a linear pair. A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays. Answer: The angle pairs that satisfy this definition are

7. Example 5-1b Name two acute vertical angles. There are four acute angles shown. There is one pair of vertical angles. Answer: The acute vertical angles are  VZY and  XZW.

8. Example 5-1c Name an angle pair that satisfies each condition. a. two acute vertical angles b.two adjacent angles whose sum is less than 90 Answer:  BAC and  CAD or  EAF and  FAN Answer:  BAC and  FAE,  CAD and  NAF, or  BAD and  NAE

9. Example 5-2a ALGEBRA Find the measures of two supplementary angles if the measure of one angle is 6 less than five times the other angle. ExploreThe problem relates the measures of two supplementary angles. You know that the sum of the measures of supplementary angles is 180. PlanDraw two figures to represent the angles.

10. Example 5-2b Let the measure of one angle be x. Solve Given Simplify. Add 6 to each side. Divide each side by 6.

11. Example 5-2c Use the value of x to find each angle measure. ExamineAdd the angle measures to verify that the angles are supplementary. Answer: 31, 149

12. Example 5-2d ALGEBRA Find the measures of two complementary angles if one angle measures six degrees less than five times the measure of the other. Answer: 16, 74

13. End of Lesson 5

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