Question

Use an angle bisector to find angle measurement question in attachments

Answer 1

A bisecting ling cuts the angle in the middle, so both sides of the bisecting line are identical.

Set the equations to equal each other to solve for x:

4x-9 = 5x-17

Subtract 4x from both sides:

-9 = x -17

Add 17 to both sides:

x = 8

Now you have a value for x, replace x in the equations and solve:

HGI = 5x-17 = 5(8) - 17 = 40-17 = 23

FGI = 4x-9 = 4(8) - 9 = 32-9 = 23

a. X = 8

b. 23

c. 23