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4 years ago

8

3. Which angle corresponds to /3?

2 answers:

olga55 [171]4 years ago

8 0

<span>3. Which angle corresponds to <3?

answer
B) <8

</span><span>4. Which pair of angles are same-side interior angles?
answer
</span><span>C) <4 and <7</span>

velikii [3]4 years ago

7 0

<u>Part 3) Which angle corresponds to /3?</u>

we know that

m∠3=m∠8 --------> by corresponding angles

m∠7=m∠8 -------> by vertical angles

so

m∠3=m∠7 -------> by alternate interior angles

<u>The answer Part 3) is</u>

B) /8

D) /7

<u>Part 4) Which pair of angles are same-side interior angles? </u>

we know that

<u>The same-side interior angle theorem</u> states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary

so

in this problem

m∠4+m∠7= $180\°$ -------> by consecutive interior angles

m∠1+m∠3= $180\°$ -------> by consecutive interior angles

therefore

m∠4 and m∠7 are same-side interior angles

m∠1 and m∠3 are same-side interior angles

<u>the answer Part 4) is</u>

C) /4 and /7

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4 years ago

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2 years ago

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see explanation

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