Lines AB and CD intersect at E, mLAED = 110, m_DEB = 3x + 2y, mZBEC = 9x + y, and mZCEA =
= 70.
Find the values of x and y. Check your answer. [Only an
algebraic solution will be accepted.]
А
'D
110°
(3x+2y)
70°
E
(9x + y)
с
B

x = 10, y = 20

Step-by-step explanation:

Form a system of equations:

From the picture at the bottom you can see that vertical angles are equal, so:

Then, since the angles all together will add up to 360, you can do

subtract 70 from both sides

With the equation 3x + 2y = 70, multiply both sides by 2

Subtract the two equations:

Plug this into one of the original equations

26

step-by-step explanation: