Can someone help me with this one real quick ? Thanks a lot! Please explain and show your work :)

Mathematics

1 answer:

marin [14]3 years ago

6 0

A. Given.
You were given the proof.

b. Corresponding angles are congruent.
Since angles 1 and 2 are corresponding, then if one is 130, then the other one is also 130.

c. Vertical angles are congruent.
Angles 2 and 3 are vertical, meaning they'll also be congruent.

d. Transitive Property of Equality.
If angles 2 and 3 are vertical, then if 2 is 130, then 3 is also 130.

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For problems like these, it's very helpful for looking at key words. 'How many more' suggests that one value is greater than the other by a certain amount, which means subtraction. Let's do the same for this equation.

If 165 is m greater than 130, then this means $130 + m = 165$ .