101k views
2 votes
Vertical angles are congruent is that an example of a theorem

User Guapo
by
8.3k points

2 Answers

1 vote

Proof:

∠1and∠2∠1and∠2 form a linear pair, so by the Supplement Postulate, they are supplementary. That is,

m∠1+m∠2=180°m∠1+m∠2=180°.

∠2and∠3∠2and∠3 form a linear pair also, so

m∠2+m∠3=180°m∠2+m∠3=180°.

Subtracting m∠2m∠2 from both sides of both equations, we get

m∠1=180°−m∠2=m∠3m∠1=180°−m∠2=m∠3.

Therefore,

∠1≅∠3∠1≅∠3.

You can use a similar argument to prove that ∠2≅∠4∠2≅∠4.In the figure,

∠1≅∠3∠1≅∠3 and ∠2≅∠4∠2≅∠4.

User Kupson
by
7.6k points
6 votes
whats the answers? I need them first


User Wes BOREland
by
7.1k points

No related questions found