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andreyandreev [35.5K]
3 years ago
6

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?

Mathematics
1 answer:
Firdavs [7]3 years ago
7 0

Answer:

C. 80°

Step-by-step explanation:

I believe it's 80 l

: 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

m\angle F = 80^om∠F=80o

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