EXPLAIN 3A Constructing an Angle Bisector Read Explain 3A

Last updated: 10/18/2023

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 m ABD m CBD The arcs in the figure show equal angle measures Example 1 BD bisects LABC What is m ABC Information Solve Ego mzDBC mzABD 65 mzABC mLABD mzDBC m ABC 65 65 mzABC 130 8 Determine the value of x 26 5x 11 26 5x 11 Definition of an angle bisector 15 5x Subtract 11 on both sides Divide by 5 on both sides 3 x Your Turn If m FCD x 48 mzBCF x 17 and m BCD 95 then find the value of x B C F D