Question

if an angle of a parallelogram is 3/5 of its adjacent angle, find all the angles of the parallelogram
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Answer 1

Answer:

Hope this will help you .......

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Answer 2

Answer:

Angles of parallelogram are 112.5° ,67.5° , 112.5° , 67.5°

Step-by-step explanation:

Let adjacent angle of parallelogram = x°

Other angle = 3/ 5 of x= (3x /5)°

As we know that ,

Sum of adjacent angle of parallelogram is equal to 180°

So, x° + (3x/5) ° =180°

    (5x + 3x ) / 5 = 180°

        8x / 5 =180°

         8x = 180° × 5

            x = 900/8 = 112.5°

Other angle = (3 × 112.5)/5 = 337.5 /5= 67.5°

And we also know that , opposite angles of parallelogram are equal.

Angle opposite to 112.5° =112.5°

Angle opposite to 67.5° =67.5°