Question

question 9 of 27 which of the following best describes a regular polygon when the measure of each exterior angle is 90°? a. nonagon b. quadrilateral c. triangle d. hexagon

Explanation:

Step1: Recall the formula for exterior angles of a regular polygon

The sum of the exterior angles of any regular polygon is \( 360^\circ \). If each exterior angle of a regular polygon is \( \theta \), and the number of sides is \( n \), then \( n\times\theta = 360^\circ \).

Step2: Calculate the number of sides

Given \( \theta = 90^\circ \), we substitute into the formula \( n=\frac{360^\circ}{\theta} \). So \( n = \frac{360^\circ}{90^\circ}=4 \).
A polygon with 4 sides is a quadrilateral.

Answer:

B. Quadrilateral