Question

If an angle of a parallelogram is 2/3 of its adjacent angle, find the angles of the
parallelogram

Answer 1

Answer:

Step-by-step explanation:

Let the angle be x°

Adjecent angle = 2x/3

We know that the sum of the adjecent angles is 180° because they are co interiors.

x + 2x/3 = 180

(3x + 2x)/3 = 180

5x = 540

x = 108°

One angle = x = 108°

Second angle = 2x/3 = 72°

The angle opposite to 108° will also be 108° and the angle opposite to 72° will also be 72° because we know that the opposite angles of a parallelogram are equal.

Angles of Parallelogram = 108° , 108°, 72°, 72°.

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