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Parth is making plans to build a shed in his backyard. He uses the map shown. Find the m<1​

Parth is making plans to build a shed in his backyard. He uses the map shown. Find-example-1

1 Answer

7 votes

Answer:

m<1 = 119°

Explanation:

The entire figure is an irregular hexagon, a 6-sided polygon.

The sum of the measures of the angles of a polygon with n sides is

(n - 2)180°

For a hexagon, n = 6.

(6 - 2)180° = 4(180°) = 720°

All angle measures of the polygon are known except for the measure of <1.

m<1 + (37° + 113°) + 90° + 147° + (80° + 44°) + 90° = 720°

m<1 + 601° = 720°

m<1 = 119°

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