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nayelimoormann
25.06.2019 •
Mathematics
Four interior angles of a pentagon measure 156 degrees 72 degrees 98 degrees and 87 degrees. what is the measure of the final interior angle
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Ответ:
127°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180°(n - 2) ← n is the number of sides
here n = 5 ( Pentagon), hence
sum = 180° × 3 = 540°
To find the fifth angle subtract the sum of the 4 given angles from 540
angle = 540° - (156 + 72 + 98 + 87) = 540° - 413° = 127°
Ответ: