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:

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.