aahmed3136 aahmed3136
  • 23-03-2022
  • Mathematics
contestada

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

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jimrgrant1 jimrgrant1
  • 23-03-2022

Answer:

d = 140°

Step-by-step 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°

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