Question

Adjacent angles of parallelogram are of measure 2x and 7x find the value of 'x'​

Answer 1

Answer:

The adjacent angles are given as (2x+7)

∘

and (3x−2)

∘

.

Since, the sum of the adjacent angles of a parallelogram is 180

∘

, then,

2x+7+3x−2=180

5x+5=180

5x=175

x=35

(2x+7)

∘

=(2(35)+7)

∘

=77

∘

(3x−2)

∘

=(3(35)−2)

∘

=103

∘

And since the opposite angles of a parallelogram is equal, so, the angles will be 77

∘

,103

∘

,77

∘

,103

∘

.