# The measures of the opposite angles of a parallelogram are (3x-2) degree and (50-x) degree.find the measure of each angle of the parallelogram

2
by anahita

2015-05-31T15:42:25+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.
Given measures of the opposite angles of a parallelogram are (3x-2) and (50-x)
We know that opposite angles of a parallelogram are equal
⇒ 3x-2 = 50-x
⇒4x=52
⇒x=13 .
the angles are : (3×13)-2 = 39-2 = 37 degrees
50-13     = 37 degrees .

You are wrong. Sum of opposite angles of a parallelogram is not 180º. Also, angles can't be negative.
2015-05-31T16:17:50+05:30
Opposite angles of a parallelogram are equal. Use this as a hint to solve the problem. Anyway, I'm also solving it for you.

3x-2=50-x
=> x=13º
Angles are --> 1) 37º
2) 143º
3) 37º
4) 143º
[Because Adjacent sides of a parallelogram are supplementary.]