# ABCD IS PARALLELOGRAM ANGLE D=3x+5 E=7x+15.......WHAT ARE THE ANGLES OF PARALLELOGRAM ABCD ????

2
Angle E or Angle B???
opposite angles r equal

2014-11-24T16:13:30+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Two angles of a parallelogram are 3x+5 and 7x+15
since opposite angles are equal, the other two angles are 3x+5 and 7x+15

sum of angles = 360
⇒ (3x+5) + (7x+15) + (3x+5) + (7x+15) = 360
⇒20x + 40 = 360
⇒ 20x = 360-40 = 320
⇒x = 320/20 =16

3x+5 = 3*16+5 = 48+5 = 53
7x+15 = 7*16+15 = 112+15 = 127

The angles are 53°, 127°, 53° and 127°.
2014-11-24T18:14:18+05:30

Opposite angles are equal in the parallelogram . Hence the other two angles are 3x+5 and 7x+15.

sum of angles of parallelogram = 360
(3x+5) + (7x+15) + (3x+5) + (7x+15) = 360
20x + 40 = 360
20x = 360-40
20x = 320
x = 320/20
x = 16

Putting the value of x .

3(16) + 5 , 7(16) + 15 , 3(16) + 5 , 7(16) + 15
48+5       , 112 + 15   ,48+5        , 112 + 15
53           , 127          , 53           , 127

Hence the angles are 53°, 127°, 53° and 127°.