Question

The adjacent angles of a parallelogram are
(3x - 12) and (52 + 2x). Find the angles of the
parallelogram.​

Answer 1

Answer:

1.1K people helped

sum of adjacent angle of triangle=180degree.

(3x-12)+(52+2x)=180 degree

5x+40=180degree

5x=180-40

5x=140

x=140/5

=28

so

(3x-12)=3*28-12=72

52+2x=52+2*28=108

hope its help

Answer 2

$\huge\sf\underline\blue{Concept}$

Sum of adjacent angles in a parallelogram is 180°

Opposite angles of parallelogram are equal

So, given adjacent angles sum should be equal to 180°

So,

3x - 12 + 52 + 2x = 180°

5x + 40 = 180°

5x = 140°

x = 28°

3x - 12 = 84-12 = 76°

52 + 2x = 52 + 56= 108

Required angles are 76° and 108°