1.

Two consecutive angles of a parallelogram are in the ratio 1 : 3. Find the smallest angle.

Answer»

Let the two consecutive angles be x and 3x.

Since the sum of two consecutive angles of a parallelogram is 180°.

Therefore, x + 3x = 180°

⇒ 4x = 180°

⇒ x = 45°

Smallest angle = 45°.



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