Question

2 adjacent angles of a parellogrm are (3x-4)°&(3x+16).find the value of x&measure of each of its angle

Answer 1

Hi ,

It is given that ,

( 3x - 4 )° and ( 3x + 16 )° are two

adjacent angles of a parallelogram.

We know that sum of two adjacent

angles in a parallelogram = 180°

3x - 4 + 3x + 16 = 180

6x + 12 = 180

6x = 180 - 12

6x = 168

x = 168/6

x = 28

Therefore ,

3x - 4 = 3 × 28 - 4 = 84 - 4 = 80°

3x +16 = 3 × 28 + 16 = 84 + 16 = 100°

Four angles of the parallelogram are

80° , 100° , 80° and 100°

I hope this helps you.

: )