Question

Find m<AED help me with this hurry!!!

Answer 1

First lets find the value of x. We can do this by making m∠AEB and m∠DEC equal to each other in an equation because they are vertical angles (vertical angles are equal to each other).

Your equation should look like this: m∠AEB = m∠DEC

Plug in the values of m∠AEB and m∠DEC into the equation. Now your equation should look like this:

(3x + 21) = (2x + 26)

Subtract 2x from both sides.

x + 21 = 26

Subtract 21 from both sides.

x = 5

Now plug 5 for x in either ∠AEB or ∠DEC; I will plug it into ∠AEB.

m∠AEB = 3(5) + 21

15 + 21 = 36

m∠AEB = 36°, now since ∠AEB and ∠AED are forming a straight line, this means they are supplementary so they must add up to 180 degrees.

Make m∠AEB and m∠AED add up to 180 in an equation and solve for m∠AED.

36 + m∠AED = 180

Subtract 36 from both sides.

m∠AED = 144°