Question

ABCD is a parallelogram. The ratio of of this parallelogram is 5:4 then find measures of

all angles of ABCD​

Answer 1

Answer:

Let the common multiple of the given ratio then

∴∠A=5x

∘

and∠B=4x

∘

□ ABCD is a parallelogram.

∴∠A+∠B=180

∘

[Adjacent angle of parallelogram are supplementary]

∴5x+4x=180

∘

⇒9x=180

∘

⇒x=180/9

⇒x=20

∘

∠B=4x=4×20

∘

=80

∘

The measure of ∠B is 80

∘

Answer 2

Answer:

Let the common multiple of the given ratio then

∴∠A=5x

and∠B=4x

□ ABCD is a parallelogram.

∴∠A+∠B=180

[Adjacent angle of parallelogram are supplementary]

∴5x+4x=180

⇒9x=180

⇒x=180/9

⇒x=20

∠B=4x=4×20

=80

The measure of ∠B is 80 °