Question

ch. 5.1 - perpendicular and angle bisectors mix - assignm
the figure below contains an angle bisector. which equation below would be used to correctly solve for x
4x + 3
8x - 9
4x + 3 - 8x - 9 = 180
4x + 3 + 8x - 9 = 180
4x + 3 = 8x - 9
not possible

Explanation:

Step1: Recall the property of angle bisector

An angle bisector divides an angle into two equal parts. So the two expressions \(4x + 3\) and \(8x-9\) (which are formed by the angle bisector) are equal.

Step2: Set up the equation

Based on the equality of the two parts (due to angle - bisector property), we get the equation \(4x + 3=8x - 9\).

Answer:

\(4x + 3 = 8x-9\) (the third option)