Answer:
y = 55
x = 6
∠E = 70
Explanation:
Hello There!
Segment DE and segment EF are congruent meaning that there opposite angles are congruent
So angle D and angle F are congruent
Because ∠D = 55 ∠F also equals 55
now we can solve for x
Remember all of the angles in a triangle add up to equal 180 so we use this equation to solve for x
180=55+55+11x+4
step 1 combine like terms
55+55+4=114
now we have
180=11x+114
step 2 subtract 114 from each side
180-114=66
now we have
66=11x
step 3 divide each side by 11
66/11=6
11x/11=x
we´re left with
x=6
Now we can plug in 6 to x to find the measure of angle E
6x11=66
66+4=70 so angle E = 70