Question

find the measure of the missing angle.

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°.
Let the missing angle be \(x\). Then \(x + 65^{\circ}+57^{\circ}=180^{\circ}\).

Step2: Solve for \(x\)

\(x=180^{\circ}-(65^{\circ} + 57^{\circ})\)
First, calculate \(65^{\circ}+57^{\circ}=122^{\circ}\).
Then \(x = 180^{\circ}-122^{\circ}=58^{\circ}\).

Answer:

\(58^{\circ}\)