Question

In parallelogram ABCD, m 13 years ago

Answer 1

X=20

Answer 2

I need to show my work though....

Answer 3

Since angles A and C are along a diagonal of the parallelogram, they are supplementary. Hence:
m<A + m<C = 180 ==> (5x - 20) + (3x + 40) = 180.

Answer 4

Okay so am I done with just that?^

Answer 5

its supposed to be m<C=3x+40.

Answer 6

Yep i knew that and thats all you need

Answer 7

@beautiful_gurl
In a parallelogram, consecutive angles such as <A and <B, or <B and <C, are supplementary. This is not what you have in this problem.

In a parallelogram, opposite angles are congruent. Since the parallelogram is called ABCD, and the vertices are always named in order, angle A and angle C are opposite angles, and, therefore, congruent. That means m<A = m<C
Since m<A = 5x - 20 and m<C = 3x + 40, then
5x - 20 = 3x + 40
2x = 60
x = 30

Answer 8

how do I show the work for that?

Answer 9

I just did. Start with m<A = m<C, and continue from there.

Answer 10

how?

Answer 11

m<A = m<C
m<A = 5x - 20, m<C = 3x + 40
5x - 20 = 3x + 40
2x = 60
x = 30

Answer 12

okay thanks