Question

8. Two opposite angles of a parallelogram are
(3x + 4) and (5x - 2)°. Find the measure of
all the angles of the parallelogram.​

Answer 1

Answer:

1st angle= 13 degree

2nd angle= 167 degree

3rd angle= 13 degree

4th angle=167 degree

Step-by-step explanation:

Opposite angle of parallelogram are equal.

( 3x + 4 ) = ( 5x - 2 )

3x - 5x = - 2 - 4

- 2x = - 6

x = 3

1 St angle :- 3x + 4 = 13

3rd angle :- 5x - 2 = 13

• Sum of adjacent side of angle is 180.

Let the adjacent ( 2nd angle ) be y

y + 13 = 180

y = 180 - 13

y = 167

• 2 nd angle = 4th angle

2nd angle = 167

4th angle = 167