Question

find x.
36°
x°
116°
35°
x=

Explanation:

Step1: Use the exterior angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. The exterior angle here is \(116^{\circ}\), and one of the non - adjacent interior angles is \(35^{\circ}+36^{\circ}\).

$$116^{\circ}=(35 + 36)^{\circ}+x^{\circ}$$

Step2: Solve for \(x\)

First, calculate \(35 + 36=71\). Then the equation becomes \(116=71 + x\).
Subtract \(71\) from both sides: \(x=116 - 71\).

$$x = 45$$

Answer:

\(x = 45\)