Question

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°​

Answer 1

the answer is A, 38 degrees

Explanation:

Answer 2

Answer: A) 38°

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°.