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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 3x.
Then, we have x + (3x) = 180° ...[Adjacent angles of parallelogram are supplementary]
⇒ 4x = 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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