Q. 104.0( 26 Votes )

# Two unequal angles of a parallelogram are in the ratio 2 : 3. Find all its angles in degrees.

Answer :

Let, ∠A = 2x and ∠B = 3x

Now,

∠AHB = 180^{o} (Co. interior angles are supplementary)

2x + 3x = 180^{o}

5x = 180^{o}

x = 36^{o}

∠A = 2x = 72^{o}

∠B = 3x = 108^{o}

Now,

*∠**A =**∠**C = 72 ^{o}*

**(Opposite sides angles of a parallelogram are equal)**

*∠**B =**∠**D = 108 ^{o}*

**(Opposite sides angles of a parallelogram are equal)**

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