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Two opposite angles of a parallelogram …

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Two opposite angles of a parallelogram are (3x-2)°and +(50-x)°. Find the measure of each angle of the parallelogram.

Posted by Sakshi Anand 8 years, 6 months ago

CBSE > Class 09 > Mathematics

1 answers

Amar Kumar 8 years, 6 months ago

Given that two opposite angles of a parallelogram are (3x − 2) and (50 − x) in degrees

we know that opposite angles of a parallelogram are equal.

Hence (3x − 2) = (50 − x)

⇒ 3x + x = 50 + 2 ⇒ 4x = 52

x = 13 (3x − 2) = [3(13) − 2]= [39 − 2]= 37º

Sum of adjacent angles is 180º

Hence other two equal opposite angles = 180º − 37º = 143°

1Thank You

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