Question

If the measure of Angle B E C is (2 x + 3) degrees and x = 30, which expression could represent the measure of Angle A E D?

Lines A C and B D intersect at point E.
(4 x minus 3) degrees
(3 x minus 27) degrees
(5 x minus 33) degrees
(x + 43) degrees

Answer 1

(3x−27)o

Explanation:

Answer 2

(3x−27)o

Explanation:

we know that

m\angle BEC=m\angle AEDm∠BEC=m∠AED ----> by vertical angles

we have

m\angle BEC=(2x+3)^om∠BEC=(2x+3)o

The value of x is given

x=30

so

m\angle BEC=(2(30)+3)=63^om∠BEC=(2(30)+3)=63o

That means that the measure of angle AED is also 63 degrees

so

The expression that could represent the measure of Angle A E D is

(3x-27)^o(3x−27)o

because

For x=30

(3(30)-27)=63^o(3(30)−27)=63o