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If two opposite angle of a parallelogram are (3x-2)(50-x) the the value of x.

Posted by Nitish Kumar 5 years, 3 months ago

CBSE > Class 09 > Mathematics

3 answers

Mitul Goyal 5 years, 3 months ago

..........

Amlan Panda 5 years, 3 months ago

Given two opposite angles of a parallelogram are (3x − 2)º and (50 − x)º Recall that opposite angles of a parallelogram are equal. Hence (3x − 2) = (50 − x) ⇒ 3x + x = 50 + 2 ⇒ 4x = 52 ∴ x = 13 (3x − 2)º = [3(13) − 2]º = [39 − 2]º = 37º Sum of adjacent angles is 180º Hence other two equal opposite angles = 180º − 37º = 143°

Gaurav Seth 5 years, 3 months ago

Given two opposite angles of a parallelogram are (3x − 2)º and (50 − x)º
Recall that opposite angles of a parallelogram are equal.
Hence (3x − 2) = (50 − x)
⇒ 3x + x = 50 + 2
⇒ 4x = 52
∴ x = 13
(3x − 2)º = [3(13) − 2]º = [39 − 2]º = 37º
Sum of adjacent angles is 180º
Hence other two equal opposite angles = 180º − 37º = 143°

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