Question

The angles of a parallelogram are in ratio 3:2. Find the angles​

Answer 1

Explanation:

Let two adjacent angles A and B of ∥gm ABCD be 3x and 2x respectively.

Since the adjacent angles of a parallelogram are supplementary.

∠A+∠B=180

o

⇒3x+2x=180

o

⇒5x=180

o

⇒x=

5

180

o

=36

o

∴∠3×36

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=108

o

and, ∠B=2×36

o

=72

o

Since the opposite angles are equal in a parallelgram, therefore, ∠C=∠A=108

o

and ∠D=∠B=72

o

Hence, ∠A=108

o

,∠B=72

o

,∠C=108

o

and ∠D=72

o