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Mathematics 15 Online
OpenStudy (anonymous):

if two angles are vertical then which of the following is not true

OpenStudy (elonasushchik):

Is this the full question. Which following..?

OpenStudy (anonymous):

the angles are congruent the angels share a common vertex the angles lie in the same plane the angles share a common side

OpenStudy (elonasushchik):

Without drawing a picture .. this could get really confusing. Here's the simplest way I can think of to say it. To prove that any two angles are congruent, consider what vertical angles are. Vertical angles are two angles that share a common vertex that are formed by two lines (or line segments.) The simplest picture would be the letter X X the angle that is opening to the top we will call 1 the angle opening to the left we will call 2 the angle opening down we will call 3 <1 and <3 are vertical because they share the same point for a vertex and they are formed by the two straight line segments that make the letter X. If you can picture that -- then keep on reading! :-) Look at X and the labels we just gave it .. <1 and <2 are supplementary (because together they equal 180°). We know this because <1 and <2 are a linear pair -- two angles that share a common side who's other sides form a straight line and who's angle measures total 180°. <2 and <3 are supplementary because they also equal 180°. The rules you just stated "supplements of the same angle are congruent" means that because <1 and <3 are both congruent to <2, then they are equal to each other. This would be much, much easier to show you in person with a drawing and being able to point ... but, that just isn't going to happen, now is it... Good luck -- and just remember proofs are not the easiest thing in the world. They just take practice.

OpenStudy (anonymous):

you just instilled ultimate confusion upon me XO could you tell me the answer in short

OpenStudy (elonasushchik):

One sec..

OpenStudy (elonasushchik):

The angles lie in the same plane ....

OpenStudy (anonymous):

thanks medal for youuu but im new so how do I medal?

OpenStudy (elonasushchik):

Klick best response. Thkx

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