Question

Find thtwo adjacent angles of a parallelogram are in the ratio 3:2 find the measure of each of the angles of the parallelogram ?

Answer 1

Step-by-step explanation:

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Answer 2

SOLUTION:-

Let ABCD be a parallelogram such that ∠A & ∠B are 3x & 2x respectively.

Since,

Adjacent angles are supplementary,

So,

∠A + ∠B= 180°

=) 3x + 2x = 180°

=) 5x = 180°

=) x= 180°/5

=) x= 36°

Thus,

∠A = 3x, 3×36° = 108°

∠B = 2x, 2×36° = 72°

And, we know that opposite angles of a parallelogram are equal.

∠C= ∠A = 108°

∠D= ∠B= 72°

Hope it helps ☺️