Question

find the value of x.

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $127^{\circ}=x + 45^{\circ}$.

Step2: Solve for x

Subtract $45^{\circ}$ from both sides of the equation: $x=127^{\circ}-45^{\circ}$.

Answer:

$x = 82^{\circ}$