Question

Given: NM 1 XZ

Answer 1

The prove of  Angle XYZ- Angle NYM is given below:

• ∠XYZ is congruent to ∠NYM - reflexive property.
• ΔXYZ is the same with Δ NYM,- AA (angle-angle) similarity theorem.

What is the triangle about?

Note that from the image given;

• NM // XZ
• NY = transversal line
• ∠YXZ ≡ ∠YNM

Since ∠XYZ is said to be congruent to ∠NYM it can be proven by the use of the reflexive property.

The reflexive property is one that informs that any shape is regarded congruent to itself.

Since ∠NYM has a different way to call ∠XYZ that uses a different vertexes, but the sides are made up of the two angles which are said to be the same.

Therefore , ∠XYZ ≡ ∠NYM are proved by the reflexive property.

Since ΔXYZ is the same with Δ NYM, it can be proven by the AA (angle-angle) similarity theorem.

We have 2 angles Δ XYZ and Δ NYM:

Note that ∠YXZ ≡ ∠YNM

              ∠XYZ ≡ ∠NYM

So,  ΔXYZ is said to be the same to ΔNYM and it is proven by the AA similarity theorem.

Therefore, The prove of  Angle XYZ- Angle NYM is given below:

• ∠XYZ is congruent to ∠NYM - reflexive property.
• ΔXYZ is the same with Δ NYM,- AA (angle-angle) similarity theorem.

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brainly.com/question/10468052

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