Question

Find each angle of parallelogram if adjacent angles are in ratio 1: 3​

Answer 1

Answer:

Now , the sum of adjacent angles of a parallelogram = 180 deg. Hence the adjacent angles are 45 deg. And 45×3 = 135 deg. Hence the four angles are 45, 45 , 135 and 135 degrees .

Answer 2

Answer:

35° & 135°

Step-by-step explanation:

Let the angles be in the ratio 1x : 3x

∵ WE KNOW THAT, ADJACENT ∠s OF A ║gm ARE SUPPLEMENTARY OR SUM UPTO 180°.

∴ ACCORDING TO THE QUESTION,

x + 3x = 180°

⇒ 4x = 180°

→ x = 35°

∴THE ANGLES ARE : 35° & 135° RESPECTIVELY.

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