Question

The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each of the angles of the parallelogram.​

Answer 1

Explanation:

∠A+∠B=180

o

⇒3x+2x=180

o

⇒5x=180

o

⇒x=

5

180

o

=36

o

∴∠3×36

o

=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

Answer 2

Opposite angle of ||gm is equal.

Let adjacent angle be 3x & 2x.

Sum of all angle of ||gm is 360°

3x + 2x + 3x + 2x = 360°

10x = 360°

x = 36°

<A = 108°

<B = 72°

<C = 108°

<D = 72°