Question

what is the measure of angle b?

Explanation:

Step1: Find angle $a$

$a = 180^{\circ}- 117^{\circ}=63^{\circ}$

Step2: Calculate angle $b$

In a triangle, the sum of interior angles is $180^{\circ}$. So $b=180^{\circ}-81^{\circ}-63^{\circ}=36^{\circ}$

Answer:

$36^{\circ}$