Question

The figure below shows a triangle with one of its angle bisected. Find x.

Answer 1

Answer: x = 2

Step-by-step explanation:

Angle 1 = Angle 2 (Bisected Angle are equal)

Angle 1 + Angle 2 = Angle FDE

angle 1 = 27x
Angle FDE = 55x - 2

Since Angle 2 = Angle 1

We can write:

Angle 1 + Angle 1 = Angle FDE
27x + 27x = 55x - 2
54x = 55x - 2
54x - 55x = -2
-x = -2
x = -2/-1
x = 2