Question

Each figure shows a triangle with one of its angle bisectors.

Answer 1

x = 7

Explanation:

XP bisects <X into two equal parts, <1 and <2. Therefore,

<1 = <2

<1 = 5x - 2

<2 = 4x + 5

Thus:

5x - 2 = 4x + 5

5x - 2 - 4x = 5 (subtraction property of equality)

x - 2 = 5

x = 5 + 2 (addition property of equality)

x = 7