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kirill [66]
3 years ago
13

Find the measure of one interior angle for the following regular polygon

Mathematics
1 answer:
Tanya [424]3 years ago
3 0

Answer:

108 degrees

Step-by-step explanation:

The formula for the total sum of the angles in any REGULAR shape is

(n-2) * 180,  where n represents the number of sides.

The shape in the picture shown is a pentagon (5 sides).

(5-2) * 180\\

3 * 180

= 540

So the angle sum is 540 degrees.

Again, we are told that it is a regular polygon, meaning all sides and angles in the shape are equal.

So to find one angle, just divide it by the number of sides.

540/5 = 108

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L=W+12
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2W+24+2W=48
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PROOF:
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