What is the reason for the step taken from the proof below?
2 1 and 2 2 are vertical angles
Given
21 22
?
Congruent Complements Theorem
Linear Pair Postulate
Congruent Supplements Theorem
Vertical Ángles Theorem

What is the reason for the step taken from the proof below 2 1 and 2 2 are vertical angles Given 21 22 Congruent Complements Theorem Linear Pair Postulate Congr class=

Respuesta :

Answer:

Option (4)

Step-by-step explanation:

Vertical angles theorem;

"Two vertically opposite angles formed by the intersection of two straight lines are congruent"

By this theorem,

If ∠1 and ∠2 are the vertical angles                            Given

∠1 ≅ ∠2                                                                Vertical angles theorem

Therefore, Option (4) is the correct option.

The reason for the step taken from the proof is vertical angles theorem.

Vertically opposite angles are equals.

Therefore,

if ∠1 and 2 are vertical angles, they are equal.

This means the angles are congruent and are the same.

Therefore,

∠1 ≅ ∠2 follows the vertical angle theorem

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