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Find the measure of each angle …

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Find the measure of each angle of parallelogram if the largest angle is 30 degree less than twise the smaller angle .

Posted by Narendra Choudhary 5 years ago

CBSE > Class 08 > Mathematics

1 answers

Gaurav Seth 5 years ago

In a parallelogram sum of the adjacent angles

equals supplementary.

opposite angles are equal.

Let the smaller angle = x°

larger angle = twice the smaller angle - 30°

=2x° - 30°

x° +2 x° - 30 = 180°

3x° = 180 + 30

3x = 210

x = 210 / 3

x = 70°

Therefore,

smaller angle = x = 70°

larger angle = 2x - 30

= 2 × 70 - 30

= 140 - 30

= 110°

Required parallelogram angles are 70° , 110° ,

70° , 110°

0Thank You

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