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 \(180^{\circ}\). Let the third - angle be \(x\).

Step2: Set up the equation

We know that \(75^{\circ}+75^{\circ}+x = 180^{\circ}\).
Simplify the left - hand side: \(150^{\circ}+x=180^{\circ}\).

Step3: Solve for \(x\)

Subtract \(150^{\circ}\) from both sides of the equation: \(x = 180^{\circ}-150^{\circ}\).

Answer:

\(30^{\circ}\)