Can anyone help me with this geometry proof
1 answer:
Answer:
m∠3 = 57° → proved down
Step-by-step explanation:
The given is:
- Lines
and
- Lines
and
- m∠1 = 123°
We want to prove that m∠3 = 57°
∵ //
and
is the transversal → given
∴ m∠1 = m∠2 → corresponding angles
∵ m∠1 = 123° → given
∴ m∠2 = 123° → equality of two corresponding angles
∵ //
and
is the transversal → given
∴ m∠2 + m∠3 = 180° → interior supplementary angles
∵ m∠2 = 123° → proved
∴ 123 + m∠3 = 180 → subtract 123 from both sides
∴ m∠3 = 57° → inverse addition property
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Keep in mind: G is acting as a unknown variable, commonly used as "x"
So we need to find the variable, and then we solve for g until we get "0" for our problem.
Okay so lets start off by factoring our equation, in this case you do left first.
Alright, now we can set out "o" as the equal to all of our factors.
And now you need to solve for that,
And you get -1 for our answer.
Final answer: g=-1