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

Mathematics

2 answers:

JulsSmile [24]3 years ago

8 0

Answer:

72º

Step-by-step explanation:

<em>Hey there!</em>

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

so we do,

180 - 108 = 72º

<em>Hope this helps :)</em>

Bess [88]3 years ago

6 0

Answer:

72°

Step-by-step 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°

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