206k views
5 votes
What is the value of x and y?

What is the value of x and y?-example-1

1 Answer

4 votes

x is equal to 25 and y is equal to 100.

Since we can see that the 4x angle and the x + 20, along with the angle opposite of x + 10 (which would be congruent to that angle), make a straight line, we can assume that it is equal to 180. So set those numbers equal to 180 and solve.

4x + x + 10 + x + 20 = 180

6x + 30 = 180

6x = 150

x = 25

Then we can find the value of y by looking at the straight line created by the x + 10, x + 20 and y angles. Set those equal to 180.

x + 10 + x + 20 + y = 180

2x + 30 + y = 180

2(25) + 30 + y = 180

50 + 30 + y = 180

80 + y = 180

y = 100

User Martin Wiboe
by
6.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.