Question

Part DHow do the angles of ∆DEF compare with those in the original triangle? In particular, compare the angle that you did not set in ∆DEF with the corresponding angle in ∆ABC.∆DEF and ∆ABC are similar triangles

Answer 1

Triangles DEF and ABC have approximately the same interior angles. So, we can say that they are similar triangles. It means that

∠D = ∠A = 38.6°

∠E = ∠B = 90°

∠F = ∠C = 51.4°

So, the corresponding angles of ∆DEF have the same measure as the original triangle.