Answer:
M<E = 62°
Step-by-step explanation:
Since (8x-34)° and (5x+2)° are alternate interior angles, it means they equal each other so...
(8x-34)°= (5x+2)°
if you drop the parenthesis, you get
8x-34= 5x+2
Then you just solve and simplify it
3x= 36 ----> x= 12
Now you know what x is, you would plug it in to either one and you get 62 as your answer meaning m<E is 62°
8(12)-34= 62 (since this angle and angle E are parallel, the angles are the same and that is why if you plug x into this equation, you can find out what the angle of E is)
5(12) +2= 62 ( and since this angle is across from angle E, it means the angles are the same... so that's why if you plugged in x which is 12 into this equation, you can also find E)
I don't know if this helped or not.. it's kind of confusing and hard to explain without being able to show you... sorry.
