In ΔEFG and ΔYXZ, m∠F ≅ m∠X and m∠E ≅ m∠Y. If m∠E = 62° and m∠X = 80°, what is the measure of ∠Y?

Question

triangles EFG and YXZ in which triangle YXZ is larger than EFG

38°
62°
80°
142°

Answer 1

To find the measure of ∠Y, you can use the fact that m∠E ≅ m∠Y.

Since m∠E = 62°, and m∠X = 80°, you can use the fact that m∠F ≅ m∠X to find the measure of ∠F.

So, ∠F = 80°.

Now, since ∠F and ∠Y are corresponding angles in similar triangles EFG and YXZ, the measure of ∠Y is the same as the measure of ∠F.

Therefore, the measure of ∠Y is 80°.