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If someone have all the proofs of this I’ve been trying since yesterday PLEASE

If someone have all the proofs of this I’ve been trying since yesterday PLEASE-example-1
User Relascope
by
7.9k points

1 Answer

7 votes

Answer:

Please see steps below

Explanation:

Notice the following:

(a) Angles 5 and 1 are alternate angles between parallel lines, and then they must be congruent (equal in measure)
\angle 1 \,=\,\angle 5

(b) Angles 6 and 3 are also alternate angles between parallel lines, so they must be congruent (equal measure)
\angle 3 \,=\,\angle 6

Therefore, instead of expressing the addition:


\angle 5\,\,+\,\,\angle 2\,\,+\,\,\angle 6

we can write:


\angle 1\,\,+\,\,\angle 2\,\,+\,\,\angle 3

which in fact clearly add to
180^o

User John Rice
by
8.8k points

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