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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 ∠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°​

Respuesta :

JeanaShupp

Answer: A) 38°

Step-by-step explanation:

Given: In ΔEFG and ΔYXZ, m∠F ≅ m∠X and m∠E ≅ m∠Y. If m∠E = 62° and m∠X = 80°.

So,  m∠F = m∠X  = 80°  

m∠Y = m∠E =  62°

By angle sum property , the sum of all angles in a triangle is 180 degrees.

In ΔXYZ ,

∠ X  + ∠Y + ∠Z = 180°

⇒ 80°+ 62°+ ∠Z = 180°

⇒ 142°+∠Z = 180°

⇒ ∠Z = 180°-142°

⇒ ∠Z = 38°

Hence, the correct option is A) 38°.

Answer:

the answer is A, 38 degrees

Step-by-step explanation:

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