Question

q. find the measure of the angle indicated.

Explanation:

Step1: Recall triangle angle sum property

The sum of the interior angles of a triangle is \(180^\circ\). Let the unknown angle be \(x\).

Step2: Set up the equation

We know two angles: \(75^\circ\) and \(39^\circ\). So, \(x + 75^\circ + 39^\circ = 180^\circ\).

Step3: Solve for \(x\)

First, add \(75^\circ\) and \(39^\circ\): \(75^\circ + 39^\circ = 114^\circ\). Then, subtract this from \(180^\circ\): \(x = 180^\circ - 114^\circ = 66^\circ\).

Answer:

\(66^\circ\)