Question

Two opposite angles of a parallelogram are 5 x minus 8 degree and 2 X + 82 degree find the measures of each angles of the parallelogram

Answer 1

One angle =5x-8
Another angle =2x+82
Opposite angle are equal in parallelogram
So,
5x-8=2x+82
5x-2x =82+8
3x=90
x=90/3
x=30
Therefore,
1st angle =5x-8
= 5(30)-8
=142 degree
2nd angle=2x+82
=2(30)+82
=142 degree

Answer 2

We know that, opposite angles of a ||gm are equal.

therefore,

➡ 5x - 8 = 2x + 82

➡ 5x - 2x = 82 + 8

➡ 3x = 90

➡ x = 90/3

➡ x = 30

Angles of ||gm = 5x - 8 = 5(30) - 8 = 150-8 = 142°.

2x + 82 = 2(30) + 82 = 60+82 = 142°.

we know that, sum of all angles of a ||gm = 360°

so,

➡ 142 + 142 + y + y = 360°

➡ 2y = 360 - ( 142 + 142 )

➡ 2y = 360- 284

➡ 2y = 76

➡ y = 76/2 = 38

so, all angles of ||gm = 142°, 38°, 142°, 38°.

Hope it will help u !!!