Triangle abc is similar to triangle qrs. what is the degree measure of angle b?

c is 102

q is 39

b= ?

answer choices

a.39°

b.51°

c.78°

d.102°

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.