Question

The measure of two adjacent angle of a parallelogram are in the ratio of 2:3 . find the measure of all its angle.​

Answer 1

Answer:

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

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

Answer:

72 degree , 108 degree , 72 degree , 108 degree

Step-by-step explanation:

2x+3x=180

5x=180

x = 36

so 2x = 72 and 3x = 108