The measure of each exterior angle of a regular polygon is 72 degrees. how many sides does the polygon have?

1 answer:

6 0

If the measure of each exterior angle is 72, the measure of each interior angle is then 180-72=108
the sum of the interior angles of a polygon is (n-2)*180, n is the number of sides
(n-2)*180=108*n
180n-360=108n
180n-108n=360
n=5
the polygon has 5 sides.

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12 square inches.

Step-by-step explanation:

Please consider the complete question.

A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom of the mast. The length of the base of the sail is 4 inches. The height of the sail is along the mast. Find the area of the sail.

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The area of the sail will be equal to area of triangle.

$\text{Area of triangle}=\frac{1}{2}(\text{Base}\times\text{Height})$