Question

find the measure of the missing angle.

Explanation:

Step1: Recall angle - sum property

The sum of angles in a right - angled situation (where there is a 90° angle) and another given angle is 180°.

Step2: Set up the equation

Let the missing angle be \(a\). We know that \(a + 54^{\circ}+90^{\circ}=180^{\circ}\). So, \(a=180^{\circ}-(90^{\circ} + 54^{\circ})\).

Step3: Calculate the value of \(a\)

First, calculate \(90^{\circ}+54^{\circ}=144^{\circ}\). Then, \(a = 180^{\circ}-144^{\circ}=36^{\circ}\).

Answer:

\(36^{\circ}\)