Two adjacent angles of a parallelogram

Question:

Two adjacent angles of a parallelogram are in the ratio 1 : 3. Find its angles.

Solution:

Let the adjacent angles of a parallelogram be x and 8c.

Then, we have x + (3 x) = 180° [adjacent angles of parallelogram are supplementary]

=> 4 x = 180°

=> x = 45°

Thus, the angles are 45°, 135°.

Hence, the angles are 45°, 135, 45°, 135°. [ opposite angles in a parallelogram are equal]

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