Question

find the value of x.
x =

Explanation:

Step1: Use the triangle - angle sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(x + 31+117=180\).

Step2: Solve for \(x\)

First, simplify the left - hand side of the equation: \(x+(31 + 117)=x + 148\). Then, \(x+148 = 180\). Subtract \(148\) from both sides: \(x=180 - 148\).

Answer:

\(32\)