Answers are
3y + 11 = 50
10y = 130
4x -22 = 50
7x + 4 = 130
First we solve for x and y
The two “x” variable angles are supplementary so combined they will equal 180 degrees
(4x -22)+ (7x + 4) = 180
Combine
11x -18 = 180
Add 18 to both sides to isolate variable
11x -18+ 18 = 180 + 18
11x = 198
Divide both sides by 11 to solve for x
11/11 x = 198/11
x = 18
The two “y” variable angles are supplementary so combined they will equal 180 degrees
(3y + 11)+ 10y = 180
Combine
13y + 11 = 180
Subtract 11 from both sides to isolate y
13y + 11 -11 = 180 - 11
13y = 169
Divide both sides by 13 to solve for y
13/13 y = 169/13
y = 13
Now we can solve the angles
3y + 11 =
3(13) + 11 = 50
10y =
10(13) = 130
4x -22 =
4(18) -22 = 50
7x + 4 =
7(18) + 4 = 130
The vertical angle measurement equals each other so it is correct