Question

find the measure of each angle indicated

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Let the unknown angle be \(x\).
We know two angles of the triangle are 39° and 75°.
So, \(x + 39^{\circ}+75^{\circ}=180^{\circ}\).

Step2: Solve for the unknown angle

First, add the known angles: \(39^{\circ}+75^{\circ}=114^{\circ}\).
Then, \(x=180^{\circ}-114^{\circ}\).
\(x = 66^{\circ}\)

Answer:

66°