Question

what is the value of s? s = □°

Explanation:

Step1: Find adjacent - interior angle

The adjacent - interior angle to the $117^{\circ}$ exterior angle at point $H$ is $180 - 117=63^{\circ}$ since they are a linear pair.

Step2: Use angle - sum property of triangle

Let the triangle be $\triangle HIJ$. In a triangle, the sum of interior angles is $180^{\circ}$. Since the triangle is isosceles (the non - labeled base angles are equal), if the base angles are each $63^{\circ}$, then $s=180-(63 + 63)=54^{\circ}$.

Answer:

$54$