Question

use the exterior - angle theorem to solve for x

Explanation:

Step1: Recall exterior - angle theorem

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. In the given triangle, the exterior angle is $x^{\circ}$ and the two non - adjacent interior angles are $40^{\circ}$ and $47^{\circ}$.

Step2: Set up the equation

$x=40 + 47$

Step3: Calculate the value of $x$

$x = 87$

Answer:

$87$