Question

Find the measure of all the angles of a parallelogram ,if one angle is 24 less than the twice of the smallest angle ?​

Answer 1

$\underline{\underline{\pink{\huge\sf Solution}}}$

We know that, sum of adjacent sides of a parallelogram = 180

Let the smallest angle of the parallelogram be x.

Then, the other angle will be (2x-24).

X+(2x-24)= 180

3x- 24= 180

3x= 204

X= 68.

Then, the other angle will be 2(68)- 24 = 112.

The angles are 68,112.

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