Question

1. in a decagonal plaza, the exterior angle at a corner is 36°. what is the measure of the interior angle at that corner?

Explanation:

Step1: Recall angle - sum property

The sum of an interior angle and an exterior angle at a vertex of a polygon is 180°.

Step2: Calculate the interior angle

Let the interior angle be \(x\). Given exterior angle \(= 36^{\circ}\). Then \(x+36^{\circ}=180^{\circ}\). Solving for \(x\), we get \(x = 180^{\circ}-36^{\circ}\).
\(x = 144^{\circ}\)

Answer:

\(144^{\circ}\)