Determine the value of X, and the measure of angle E

y = 55

x = 6

∠E = 70

Step-by-step 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

i would need to see the dot plot : )