Question

a side of the triangle below has been extended to form an exterior angle of 163°. find the value of x.

Explanation:

Step1: Recall exterior - angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $163^{\circ}=x + 51^{\circ}$.

Step2: Solve for x

Subtract $51^{\circ}$ from both sides of the equation: $x=163^{\circ}-51^{\circ}$.
$x = 112^{\circ}$

Answer:

$112$