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A parallelogram has an interior angle measuring 81°. Which MUST also be the measure of an interior angle of the parallelogram? A) 9° B) 19° C) 49° D) 89° E) 99°
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A parallelogram has an interior angle measuring 81°. Which MUST also be the measure of an interior angle of the parallelogram?

A) 9°
B) 19°
C) 49°
D) 89°
E) 99°

User Jon Adams
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1 Answer

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99º, because the sum of all 4 of the interior angles of the parallelogram must be 360º. We know that if one angle measures 81º the other angle on the opposite side must measure 81º.. so 81+81=162
360-162=198
198 - 2(number of remaining angles) = 99º
User Slavus
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