Question

calculate for angle 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. In triangle $ABC$, $\angle ACD$ is an exterior angle. So, $\angle ACD=x + 31^{\circ}$.

Step2: Solve for $x$

Given that $\angle ACD = 93^{\circ}$, we have the equation $93^{\circ}=x + 31^{\circ}$. Then, $x=93^{\circ}-31^{\circ}$.

Answer:

$62^{\circ}$