Question

measure of two adjacent angle of a parallelogram are in the ratio 4:5 find the angle of the parallelogram ​

Answer 1

★ Given :-

• The Ratio of Adjacent angles of a parallelogram are in the ratio 4:5

★ To Find :-

• The Angles of the Adjacent angle.

★ Solution :-

A parallelogram, being a quadrilateral has four interior angles.

The neighbouring angles here are consecutive angles.

A diagonal splits a vertex angle into the two; those are the adjacent angles.

• Let 4x and 5x be the angles

• Since, 4x+5x = 180°

• 9x = 180°

• x = 20

Since x = 20 4x = 4*20 = 80 and 5x = 5*20 = 100°

Hence The angles are 80 and 100

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