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?
(5x - 2)°
(4x + 5)°
5x - 2 = 4x + 5
5x - 2 - 4x + 5 = 180
not possible
5x - 2 + 4x + 5 = 180

Explanation:

Step1: Recall the property of angle bisector

An angle bisector divides an angle into two equal - measure angles.

Step2: Set up the equation

Since the two angles \((5x - 2)^{\circ}\) and \((4x + 5)^{\circ}\) are equal (because of the angle - bisector property), we can set up the equation \(5x-2=4x + 5\).

Answer:

\(5x-2=4x + 5\)