YoungerCrayfsh
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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?
A. 38°
B. 62°
C. 80°
D.142°

I'm PRETTY sure its 62 degrees but like I want to make sure yk.s

In ΔEFG and ΔYXZ mF mX and mE mY If mE 62 and mX 80 what is the measure of Y A 38 B 62 C 80 D142 Im PRETTY sure its 62 degrees but like I want to make sure yks class=

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jjodlask

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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