Question

study the figure. what is the measure of the missing interior angle? 185° 115° 25° 18°

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Identify known angles

One angle is 90° (right - angle) and another is 65°. Let the missing angle be \(x\).

Step3: Set up the equation

\(x + 90^{\circ}+65^{\circ}=180^{\circ}\).

Step4: Solve for \(x\)

\(x=180^{\circ}-(90^{\circ} + 65^{\circ})=180^{\circ}-155^{\circ}=25^{\circ}\).

Answer:

C. 25°