Question

One angle of a parallelogram is of measure 70 degree . Find the measures of the remaining angles of the parallelogram .

Answer 1

Soln:—

Let us consider one of the adjacent angle as x°

Other adjacent angle = 70°

We know that sum of adjacent angles = 180°

So,

x° + 70° = 180°

x° = 180°- 70°

= 110°

∴ Measures of the remaining angles are 70°, 70°, 110° and 110°

Answer 2

=> The angles of a parallelogram add up to 360°

=> the opposite angles are equal

=> therefore, x + x + 70 + 70 = 360

=> 2x + 140=360

=> 2x = 360 - 140 = 220

=> x = 220/2

=> x = 110

=> therefore, the angles are 70⁰, 70⁰, 110⁰ and 110⁰

I hope this will help you dear..

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