SOLUTION: In parallelogram ABCD, m < A= 3x and m < B= 4x+10. Find the measure of angles A,B,C,D.

Algebra ->  Parallelograms -> SOLUTION: In parallelogram ABCD, m < A= 3x and m < B= 4x+10. Find the measure of angles A,B,C,D.      Log On


   

Question 1134077: In parallelogram ABCD, m < A= 3x and m < B= 4x+10.
Find the measure of angles A,B,C,D.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
A Parallelogram:
->Opposite sides are parallel

->Opposite sides are equal in length
->Opposite angles are equal (angles "a" are the same, and angles "b" are the same)
-> Angles "A" and "B" add up to 180°, so they are supplementary angles.

m < A=+3x and m < B=+4x%2B10
than 3x%2B4x%2B10=180
7x=180-10
7x=170
x=170%2F7

m < A=+3%28170%2F7%29=72.86

A=C=>m < C=72.86

m < B=+4%28170%2F7%29%2B10=107.14

B=D m < D=+4%28170%2F7%29%2B10=107.14