Question

Two opposite angles of a parallelogram are (5x – 8)° and (2x + 82)°. Find the measures of each angle of the parallelogram.

Answer 1

the angles are:-

5x-8=2x+82

∴5x-2x=8+82

∴3x=90

∴x=$\frac{90}{3}$

∴x=30

∴the angles are 142°,142°,142° and 142°

Answer 2

Ans:

Opposite angles of a parallelogram are equal. So,

5x-8=2x+82

5x-2x=82+8

3x=90

x=90/30

x=30

5x-8=5(30)-8=150-8=142

2x+82=2(30)+82

60+82

=142

The angles are= 142,38,142,38