Register
Find the length of WY and the measure of Z. A. WY = 54, Z = 110 B. WY = 77, Z = 54 C. WY = 77, Z = 110 D. WY = 110, Z = 77
51.5k views
5 votes
Find the length of WY and the measure of Z.

A. WY = 54, Z = 110

B. WY = 77, Z = 54

C. WY = 77, Z = 110

D. WY = 110, Z = 77

Find the length of WY and the measure of Z. A. WY = 54, Z = 110 B. WY = 77, Z = 54 C-example-1
User BlueStrat
by
8.1k points

1 Answer

2 votes
From the picture we can see that angles Z and X are the same because they are oposite angles of parallelogram and rule for it is that oposite angles are the same.

so we can write that equations for determining their size are the same

7x + 61 = 9x + 47

Now we just solve for x.
2x = 14
x = 7

If we implement this in formula for Z we find:
Z = 7*7 + 61 = 110

we implement value of x in the lenght of WY as well

WY = 84 - x = 84 - 7 = 77

Answer is C
User Husayn
by
8.0k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

8.8m questions

11.4m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Link Copied!