Question

The adjacent angles of a parallelogram are as 2 : 3. Find the measure of all its side​

Answer 1

Answer:

108

Step-by-step explanation:

Let ABCD be a parallelogram. Let ∠A and ∠B be its two adjacent angles such that ∠A:∠B=2:3

Let ∠A=2x

o

and ∠B=3x

o

Since adjacent interior angles are supplementary.

∴∠A+∠B=180

o

⇒2x

o

+3x

o

=180

o

⇒5x

o

=180

o

⇒x

o

=

5

180

=36

o

∴∠A=2x

o

=72

o

,∠B=3x

o

=108

o

Since opposite angles of parallelogram are equal.

∴∠C=∠A=72

o

and ∠D=∠B=108

o

Answer 2

Answer:

take ratio of 2:3 by

2x+3x=total angle of parallelogram