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

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

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

Answer

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)