Question: EXPLAIN 3A Constructing an Angle Bisector Read Explain 3A and complete Your Turn # 1-2 (adapted from Lesson 1.2). An angle bisector is a

EXPLAIN 3A Constructing an Angle Bisector Read Explain 3A and complete Your

EXPLAIN 3A Constructing an Angle Bisector Read Explain 3A and complete Your Turn # 1-2 (adapted from Lesson 1.2). An angle bisector is a ray that divides an angle into two angles that both have the same measure. In the figure, BD bisects LABC, so mZABD = m/CBD. The arcs in the figure show equal angle measures. Example BD bisects LABC. What is mZABC? 8 Determine the value of x. Information: Solve: 26 -(5x +11) 26=5x+ 11 Definition of an angle bisector mZDBC = mLABD = 65 | 15 = 5x mZABC = mLABD +mZDBC 3 = x Subtract 11 on both sides Divide by 5 on both sides mZABC = 65+ 65 mZABC = 130 Your Turn If m4FCD = x + 48, m2BCF = x+17, and mZBCD = 95, then find the value of x. B F C D

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