What is the measure of ONE interior angle in a regular nonagon (9 sides)?
Options
A
125°
B
130°
C
135°
D
140°
Answer & Analysis
Answer
D
Analysis
Question Analysis
This question involves the characteristics of regular polygons. The main focus is on understanding how to find the measure of an interior angle of a regular polygon based on the number of its sides.
Key Concept Explanation
The sum of the interior angles of a polygon is given by the formula , where is the number of sides of the polygon. For a regular polygon, all interior angles are equal. So, to find the measure of one interior angle, we divide the sum of the interior angles by the number of sides .
Step - by - Step Solution
For a nonagon with , first find the sum of the interior angles using the formula .
The sum of the interior angles is
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.