Question

Two angles of a parallelogram KLMN are in the ratio of 2:3 . Then the measure of angles are ​

Answer 1

ANSWER :

The measures of the Two angles is 72° and 108°.

Answer 2

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In the given figure,

Let ∠ADC = 2x    and    ∠BCD = 3x

We know that in a parallelogram, opposite sides are parallel.

⇒ AD ║ BC.

Taking DC as a transversal,

∠ADC + ∠BCD = 180°   (∵ Co Interior angles sum up to 180°)

⇒ 2x + 3x = 180°

⇒ 5x = 180°

⇒ x = 180 ÷ 5

⇒ x = 36°

Since we have found out the value of x, now let us find the angles.

∠ADC = 2x = 2 × 36 = 72°

∠BCD = 3x = 3 × 36 = 108°

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