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A decagon has angles that measure 150°, 140°, 150°, 160°, 165°, 170°, 115°, 130°, 140°, and h. What is h?

User Nashla
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1 Answer

4 votes

To find the value of angle h in the given decagon, we can use the fact that the sum of all the interior angles of a decagon is equal to (n - 2) * 180 degrees, where n is the number of sides of the polygon.

In this case, a decagon has 10 sides, so the sum of its interior angles is (10 - 2) * 180 = 8 * 180 = 1440 degrees.

To find angle h, we subtract the sum of the known angles from the total sum of the interior angles:

h = 1440 - (150 + 140 + 150 + 160 + 165 + 170 + 115 + 130 + 140)

h = 1440 - 1370

h = 70

Therefore, the value of angle h in the given decagon is 70 degrees.

User Khior
by
8.3k points
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