Question

what is the measure of angle a? *
your answer
i
1 point

Explanation:

Step1: Recall the sum of interior angles of a quadrilateral

The sum of interior angles of a quadrilateral is \(360^{\circ}\).

Step2: Set up the equation

Let \(a\) be the unknown angle. We know three angles: \(72^{\circ}\), \(76^{\circ}\), and \(90^{\circ}\) (the right - angle). So, \(a + 72+76 + 90=360\).

Step3: Solve for \(a\)

First, add the known angles: \(72 + 76+90=238\). Then, \(a=360 - 238\).

Answer:

\(122^{\circ}\)