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charle [14.2K]
4 years ago
7

Plz help me it is due in 24 mins do it fast and give correct answers

Mathematics
1 answer:
Lubov Fominskaja [6]4 years ago
7 0

Step-by-step explanation:

<h2>1).</h2>

The sum of interior angles of a polygon is given by

<h3>( n - 2) × 180°</h3>

where

n is the number of sides

From the question, the number of sides is 50 that's n = 50 .

Substitute the value into the above formula and solve.

We have

(50 - 2 ) × 180 = 48 × 180

<h3>The answer is 8640°</h3>

<h2>2).</h2>

The sum of interior angles of a polygon is given by

<h3>( n - 2) × 180°</h3>

where

n is the number of sides

From the question the sum of the angles is 2160°

Substitute the values into the above formula and solve for the number of sides.

That's

2160 = (n - 2) × 180

2160 = 180n - 360

180n = 2160 + 360

180n = 2520

Divide both sides by 180

n = 14

<h3>Therefore the number of sides is 14</h3>

<h2>3).</h2>

The exterior angle of a polygon can be found by using the formula

<h3>\frac{360}{n}</h3>

where

n is the number of sides

From the question the number of sides is 6 that's n = 6.

Substitute the value into the above formula and solve.

We have

<h3>\frac{360}{6}</h3>

We have the final answer as

<h2>60°</h2>

Hope this helps you.

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