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EXPLAIN 1 Using Vertical Angles Read Explain 1 and complete Your Turn 1 3 adapted...

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EXPLAIN 1 Using Vertical Angles Read Explain 1 and complete Your Turn 1 3 adapted from Lesson 4 1 Show all your work You can use the Vertical Angles Theorem to find missing angle measures Example A Find the angle measures 1 What is the measure of ZDEB Find the value of x mzAEC m2DEB 101 4x 3 104 4x Vertical angles are congruent 26 x So the value of x is 26 and m DEB 101 mLAED mLDEB 180 x 101 180 x 79 mLAED 79 mLAED m2CEB mLCEB 79 Substitute angle measures Add 3 on both sides Your Turn 1 Find the value of x 2 What is the measure of LAED What is the measure of ZCEB LAED and LDEB form a linear pair so they are supplementary Divide by 4 on both sides Definition of supplementary angles Substitute angle measures Subtract 101 on both sides Substitute x for its angle measure Vertical angles are congruent Transitive Property S D 2 The measure of two verticle angles are 58 and 3x 4 Find the value of x 101 4x 3 5x 11 P T 4 x 6 B R

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