Question

Find the measure of one exterior angle for the following regular polygon.

Answer 1

72°

Explanation:

→ First find the measure of all interior angle, utilise the formula (n-2) × 180° where n is the number of sides

(n-2) × 180° ⇔ (5-2) × 180° ⇔ 3 × 180° ⇔ 540°

→ 540° is the total sum of the angles in the pentagon, divide this by 5 to get one of the interior angles

540° ÷ 5 = 108°

→ Now, remember the fact that 1 interior + 1 exterior angle = 180°

180 - ( 1 interior angle ) → 180 - (108) = 72°

Answer 2

72º

Explanation:

Hey there!

Well the interior of a pentagon's angle is 108º,

so we do,

180 - 108 = 72º

Hope this helps :)