This shape is a regular pentagon.Question promptWhat is the size of angle ?Question response areaSelect one option36°60°72°108°
Question
This shape is a regular pentagon.Question promptWhat is the size of angle ?Question response areaSelect one option36°60°72°108°
Solution
The size of each interior angle in a regular pentagon is 108°.
Here's how you can calculate it:
Step 1: Calculate the sum of the interior angles of the pentagon. The formula to calculate the sum of the interior angles of a polygon is (n-2) x 180°, where n is the number of sides. For a pentagon, n=5. So, the sum of the interior angles is (5-2) x 180° = 540°.
Step 2: Since the pentagon is regular, all its angles are equal. So, divide the sum of the interior angles by the number of sides to get the measure of each angle. 540° ÷ 5 = 108°.
So, the size of each angle in a regular pentagon is 108°.
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