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Find the value of x .

Proving Angles Congruent. LESSON 2-5. Additional Examples. Find the value of x. The angles with labeled measures are vertical angles because their sides are opposite rays. Apply the Vertical Angles Theorem to find x. 4 x – 101 = 2 x + 3 Vertical Angles Theorem.

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Find the value of x .

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  1. Proving Angles Congruent LESSON 2-5 Additional Examples Find the value of x. The angles with labeled measures are vertical angles because their sides are opposite rays. Apply the Vertical Angles Theorem to find x. 4x – 101 = 2x + 3 Vertical Angles Theorem 4x = 2x + 104 Addition Property of Equality 2x = 104 Subtraction Property of Equality x = 52 Division Property of Equality Quick Check

  2. Proving Angles Congruent LESSON 2-5 Additional Examples Write a paragraph proof using the given, what you are to prove, and the diagram. Given: WX = YZ Prove: WY = XZ Proof: It is given that WX = YZ. Adding the middle segment, XY, to each smaller segment gives WX + XY = YZ + XY. By the Segment Addition Postulate, WX + XY = WY, and XY + YZ = XZ. Using substitution, you get WY = XZ. Quick Check

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