183k views
23 votes
Find the value of each variable in the given parallelogram

Find the value of each variable in the given parallelogram-example-1

1 Answer

2 votes

Answer:

x=16, y=26, z=13

Explanation:

opposite angles are congruent so (3x+30)=(4x+14)

Solve for x

x=16

adjacent sides are supplementary so insert x in both equations just to make sure it is correct and you get 78

so 3y=78 and 6z=78

solve for y and z

y=26, z=13

User Ximena
by
3.9k points