Question

two angles of a triangle are given below. 75°, 75°, ?° find the measure of the 3rd angle.

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Set up the equation

Let the third angle be \(x\). Then \(75^{\circ}+75^{\circ}+x = 180^{\circ}\).

Step3: Solve for \(x\)

First, add \(75^{\circ}+75^{\circ}=150^{\circ}\). Then \(x=180^{\circ}-150^{\circ}\).

Answer:

\(30\)