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

Step-by-step explanation:

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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