Question

Two opposite angles of a parallelogram are ( 6x – 17)˚ and (2x + 63 )˚. Find the value of x.

Answer 1

Step-by-step explanation:

The measure of each angle of the parallelogram is 70°

Step-by-step explanation:

Given : Two opposite angles of a parallelogram are 6x - 17 degree and x + 63 degree.

To Find : Find the measure of each angle of the parallelogram.

Solution :

Two opposite angles of a parallelogram are(6x-17)^{\circ}(6x−17)

∘

and (x+63)^{\circ}(x+63)

∘

degree.

Property of parallelogram : Opposite angles of parallelogram are equal .

So, (6x-17)^{\circ}=(x+63)^{\circ}(6x−17)

∘

=(x+63)

∘

6x-x=63+176x−x=63+17

5x=805x=80

x=16x=16

So, 6x-17=6(16)-17= 79

x+63=16+63=79

Hence the measure of each angle of the parallelogram is 70°

Answer 2

$6x \: - 17 = 2x + 63$

$4x \: = 80$

$x \: = 20$