Question

What is the measure of angle CED?

There are two triangles labeled ABC and DCE with a common vertex C. In triangle ABC, angle BAC is labeled as y, and angle ABC is labeled as 65 degrees. In triangle DCE, angle CDE is labeled as 65 degrees

y over 2, because Triangle ABC is congruent to triangle DCE
y, because Triangle ABC is similar to triangle EDC
y + 65 degrees, because Triangle ABC is similar to triangle DCE
115 degrees − y, because Triangle ABC is congruent to triangle DCE

Answer 1

y, because ΔABC is similar to ΔEDC

Explanation:

I took the test on FLVS and got it right!!!!

Answer 2

y, because ΔABC is similar to ΔEDC

Explanation:

∠B= ∠D = 65 {Given}

∠ACB = ∠ECD {Vetically opposite angles}

Therefore, ∠E = ∠A

∠E = y