Question

Lines AB and CD intersect at E, mLAED = 110,

Answer 1

Answer:

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:

$3x + 2y = 70$

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

$3x+2y+9x+y+70+9x+y=360$

$21x+4y+70=360$

subtract 70 from both sides

$21x + 4y = 290$

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

$6x+4y=140$

Subtract the two equations:

$15x=150\\x=10$

Plug this into one of the original equations

$30+2y=70\\2y = 40\\y=20$

Answer 2

Answer:

45,698,09864,58586,96403