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Transparency 3. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 3-4b. Objective. Identify and apply angle relationships. Example 3-4b. Vocabulary. Vertical angles. Opposite angles formed by the intersection of two lines. 1. Example 3-4b.

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  1. Transparency 3 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 3-4b Objective Identify and apply angle relationships

  4. Example 3-4b Vocabulary Vertical angles Opposite angles formed by the intersection of two lines 1

  5. Example 3-4b Vocabulary Congruent angles Angles that have the same measure

  6. Example 3-4b Vocabulary Supplementary angles Two angles that have the sum of their measures as 1800

  7. Example 3-4b Vocabulary Complementary angles Two angles are complementary if the sum of their measures is 900

  8. Example 3-4b Math Symbols Is congruent to 

  9. Lesson 3 Contents Example 1Classify Angles Example 2Classify Angles Example 3Find a Missing Angle Measure Example 4Use Angles to Solve A Problem

  10. Example 3-1a Classify the pair of angles as complementary, supplementary, or neither Add the two angle measurements together 1280 + 520 1800 Meets the definition of supplementary angles Answer:. Supplementary 1/4

  11. Example 3-1b Classify the pair of angles as complementary, supplementary, or neither Answer: complementary 1/4

  12. Example 3-2a Classify the pair of angles as complementary, supplementary, or neither Right angle = 900 x and y form a right angle Meets the definition of complementary angles Answer: Complementary 2/4

  13. Example 3-2b Classify the pair of angles as complementary, supplementary, or neither Answer: supplementary 2/4

  14. Angles PQS and RQS are supplementary.If mPQS 56, find mRQS. Example 3-3a mPQS + mRQS = 1800 560 mPQS is 560 PQS and RQS are supplementary Remember: Supplementary angles = 1800 3/4

  15. Angles PQS and RQS are supplementary.If mPQS 56, find mRQS. Example 3-3a mPQS + mRQS = 1800 560 + mRQS = 1800 560 Replace mPQS with 560 Bring down + mRQS = 1800 Solve for the unknown mRQS 3/4

  16. Angles PQS and RQS are supplementary.If mPQS 56, find mRQS. Example 3-3a Ask “what is being done to the variable?” mPQS + mRQS = 1800 The variable (mRQS) is being added by 560 560 + mRQS = 1800 560 - 560 Do the inverse on both sides of the equal sign Bring down 560 Subtract 560 3/4

  17. Angles PQS and RQS are supplementary.If mPQS 56, find mRQS. Example 3-3a mPQS + mRQS = 1800 Bring down + mRQS = 1800 560 + mRQS = 1800 Subtract 560 - 560 560 + mRQS = 1800 - 560 Combine “like” terms 00 1240 + mRQS = Bring down + mRQS = Combine “like” terms 3/4

  18. Angles PQS and RQS are supplementary.If mPQS 56, find mRQS. Example 3-3a mPQS + mRQS = 1800 Use the Identify Property to add 00 + mRQS 560 + mRQS = 1800 - 560 560 + mRQS = 1800 - 560 00 1240 + mRQS = Bring down 1240 Answer: mRQS = 1240 3/4

  19. Angles MNP and KNP are complementary. If mMNP 23, find mKNP. Example 3-3b Answer: m KNP = 67 3/4

  20. Example 3-4a GEOMETRYThe rectangle shown is divided by a diagonal. Find the value of x. x0 + 700 = 900 The angle that x0 and 700 make is a right angle A right angle = 900 Write an equation Solve for the unknown 4/4

  21. Example 3-4a GEOMETRYThe rectangle shown is divided by a diagonal. Find the value of x. Ask “what is being done to the variable?” x0 + 700 = 900 - 700 X0 + 700 The variable is being added by 700 Do the inverse on both sides of the equal sign Bring down x0 + 700 Subtract 700 4/4

  22. Example 3-4a GEOMETRYThe rectangle shown is divided by a diagonal. Find the value of x. Bring down = 900 x0 + 700 = 900 Subtract 700 - 700 = 900 - 700 x0 + 700 Bring down x0 + Combine “like” terms 200 = x0 + 00 Bring down = Answer: Combine “like” terms = 200 x0 Use the Identify Property to add x + 00 Bring down 200 4/4

  23. Example 3-4b * GRAPHINGIn the circle graph shown below, find the value of x. Answer: x = 620 4/4

  24. End of Lesson 3 Assignment

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