Question

find the measure of the missing angle.
answer
a =
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Explanation:

Step1: Recall the sum of angles on a straight line

The sum of angles on a straight line is \(180^{\circ}\).

Step2: Set up the equation

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

Step3: Solve for \(a\)

First, simplify the left - hand side: \(144^{\circ}+a=180^{\circ}\). Then, subtract \(144^{\circ}\) from both sides: \(a = 180^{\circ}-144^{\circ}\).

Answer:

\(36\)