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tatuchka [14]
3 years ago
9

The exterior angle of a regular polygon is one-fifth of its interior angle. How many sides does the polygon have? please answer

it step by step​
Mathematics
1 answer:
ahrayia [7]3 years ago
6 0

Answer:

10

Step-by-step explanation:

We know that interior plus exterior angles add to 180.

1/5 of 180 = 36

36 degrees = exterior angles

180-36=interior angles

180-36=144

To find the number of sides of a polygon you have to do 360/exterior angles

360/36=10

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Elis [28]

9514 1404 393

Answer:

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Step-by-step explanation:

The figure can be decomposed several ways. Maybe easiest to see is as a 8×4 rectangle with a 2×4 right triangle cut from the corner.

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The area of the missing triangle is ...

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Then the area of the shaded figure is ...

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<em>Alternate solution</em>

If you divide the figure with a horizontal line across the middle, it becomes a 4×4 square and a trapezoid with bases 2 and 4 and height 4. The shaded area is the sum of these areas.

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The area of the square is ...

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Then the total area is ...

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<em>I believe that the answer should be A. </em>
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