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For #4 - 5, the two polygons are similar. Find the

values of x and y.
60°
18
12
22
x + 4
4.

For #4 - 5, the two polygons are similar. Find the values of x and y. 60° 18 12 22 x-example-1

1 Answer

3 votes

Answer:

x = 10.7

y = 120°

Explanation:

If two polygons are similar, their corresponding angles would be the same, while the ratio of their corresponding sides will be equal.

Therefore, the angles of the two polygons given are equal, while the ratio of their corresponding side length is equal.

Thus:

✔️Find x:

22/(x + 4) = 18/12

22/(x + 4) = 3/2

Cross multiply

(x + 4)3 = 2*22

3x + 12 = 44

Subtract 12 from each side

3x = 44 - 12

3x = 32

x = 32/3

x = 10.7

✔️Find y:

y + 60° = 180° (adjacent angles are supplementary)

y = 180 - 60

y = 120°

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