Question

What are the angles of a parellelogram if an angle is 1/3 of the adjecent angle?

Answer 1

Let the one angle be x and other one is 1/3 x.

The sum of adjacent angles of parallelogram is 180.

x + x/3 = 180

(3x + x) / 3 = 180

4x = 180*3

x = 540 / 4 = 135

So one angle is 135.

Other angle = x/3 = 135/3 = 45

So opposite angles of parallelogram are equal.

All the angles of parallelogram are 135, 45, 135, 45.


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