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10 POINT TO WHOEVER HELPS ME!! URGENT

1. Write a paragraph proof for the following conjecture.
2
Given: < 1 and <3 are vertical angles

prove: <1 congruent to <3

10 POINT TO WHOEVER HELPS ME URGENT 1 Write a paragraph proof for the following conjecture 2 Given lt 1 and lt3 are vertical angles prove lt1 congruent to lt3 class=

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olayemiolakunle65

Answer:

<1 ≅ <3 (congruence property)

Step-by-step explanation:

Given that: <1 and <3 are vertical angles.

Prove: <1 congruent to <3

Vertical angles are angles that are vertically opposite, and are formed under the same conditions. Thus, they are always congruent.

<1 + <2 = [tex]180^{o}[/tex] (sum of angles on a straight line)

Also,

<2 + <3 = [tex]180^{o}[/tex] (sum of angles on a straight line)

So that,

<1 + <2 ≅ <2 + <3 = [tex]180^{o}[/tex]

Thus, we can say that;

<1 + <2 ≅ <2 + <3

Since <2 is a common angle on both sides, then;

<1 ≅ <3 (congruence property)