Question

what is the measure of angle x? a 117° b 54° c 153° d 27°

Explanation:

Step1: Recall triangle - angle sum property

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

Step2: Identify known angles

One angle is 90° (right - angle) and another is 63°. Let the unknown angle be \(x\).

Step3: Set up the equation

\(x + 90^{\circ}+63^{\circ}=180^{\circ}\).

Step4: Solve for \(x\)

\(x=180^{\circ}-(90^{\circ} + 63^{\circ})=180^{\circ}-153^{\circ}=27^{\circ}\).

Answer:

D. 27°