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 ∠Z? Triangles EFG and YXZ, in which triangle YXZ is larger than EFG.

{Please look at the comments for the answer}

A) 38°
B) 62°
C) 80°
D) 142°

Step-by-step explanation:

we know that

The AA Similarity Theorem states: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

In this problem

Triangles EFG and YXZ are similar by AA Similarity Theorem

Because

m∠F ≅ m∠X  and m∠E ≅ m∠Y

Remember that in a triangle the sum of the interior angles must be equal to 180 degrees

so

m∠G ≅ m∠Z

we have

m∠E = 62°

m∠X = 80°

Remember that

m∠F ≅ m∠X

therefore the answer↙️

m∠F=80°

HAVE A GREAT DAY AND THANK YOU!

its not b i got it wrong

Step-by-step explanation:

what are the