Question

what is the measure of angle x? 41° 35° 38° 52°

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). So, for the given triangle, we have the equation \(93^{\circ}+52^{\circ}+x^{\circ}=180^{\circ}\).

Step2: Solve for \(x\)

First, add \(93^{\circ}\) and \(52^{\circ}\): \(93 + 52=145\). Then, from \(145^{\circ}+x^{\circ}=180^{\circ}\), we can find \(x\) by subtracting \(145^{\circ}\) from \(180^{\circ}\), i.e., \(x = 180 - 145\).

Answer:

\(35^{\circ}\)