Question

The m∠ACD = (4x + 4)° and m∠ABD = (6x - 14)°. Find m∠ACD.

Answer 1

Do they give you a picture or something?

Answer 2

We need to have some sort of diagram in order to solve this.

Answer 3

yes one second

Answer 4

If you are told that quadrilateral ABDC is a parallelogram, then opposite angles are congruent. Then you know that m<ACD = m<ABD. that means that
4x + 4 = 6x - 14
Solve for x, the substitute what x is into 4x + 4 and find the measure of angle ACD

Answer 5

So x = 9, therefore making it 9 degress?

Answer 6

^ yep :)

Answer 7

x is 9, but m<ACD is not x. m<ACD = 4x + 4 Insert 9 into x and solve for m<ACD

Answer 8

So the answer would be 40 degrees then?

Answer 9

That makes sense!! Thank you mathstudent55 for helping me!

Answer 10

yes, 40 is correct