Question

1. solve for y

find the measure of one interior angle for the following regular polygons. for both polygons, find the measure of one interior angle

y = ____

Explanation:

Step1: Recall angle - sum property of a triangle

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

Step2: Set up the equation

We know one angle is 90° and another is 52°. Let the third angle be \(y\). So, \(y + 90^{\circ}+52^{\circ}=180^{\circ}\).

Step3: Solve for \(y\)

\[

$$\begin{align*} y&=180^{\circ}-(90^{\circ} + 52^{\circ})\\ y&=180^{\circ}-142^{\circ}\\ y& = 38^{\circ} \end{align*}$$

\]

Answer:

\(38^{\circ}\)