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A nonagon has angles that measure 150°, 130°, 130°, 150°, 140°, 140°, 150°, 130°, and d. What is d?

User MathewS
by
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1 Answer

9 votes

Answer:

d = 140°

Explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a nonagon has 9 sides , then

sum = 180° × 7 = 1260°

sum the angles and equate to 1260

150° + 130° + 130° + 150° + 140° + 140° + 150° + 130° + d = 1260°, that is

1120° + d = 1260° ( subtract 1120° from both sides )

d = 140°

User Ealfonso
by
5.3k points