Question

If the sum of exterior angle of a polygon is equal to half of the sum of interior angles of a polygon, find the number of sides of the polygon

Answer 1

Answer:

n = 6 sides

Step-by-step explanation:

Sum of exterior angle = $\Large{\frac{1}{2}}$ × sum of interior angles of polygon

360 = $\Large{\frac{1}{2}}$ (n - 2) × 180

360 = $\Large{\frac{(n - 2)}{2}}$ × 180

360 = (n - 2) × 90

360 = 90n - 180

360+180 = 90n

n = $\Large{\frac{540}{90}}$

$\Large{\boxed{n = 6}}$

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Mark Brainliest, if it helps.