Daniela began a plan for this proof. Since ∠1 and ∠2 are supplementary and ∠2 and ∠3 are supplementary, then m∠1+m∠2=180° and m∠2+m∠3=180°. If she can get m∠1 and m∠3 to both equal the same expression, she can use the transitive property of equality to set them equal to each other. How can Daniela get m∠1 and m∠3 to both equal the same expression?

Step-by-step explanation:

Supplementary angle are angles that have their sum to be 180°. According to the question, since ∠1 and ∠2 are supplementary and ∠2 and ∠3 are supplementary, then;

m∠1+m∠2=180° 1

m∠2+m∠3=180° 2

In order for Daniella to get m∠1 and m∠3 to both equal the same expression, he will need to take the difference of the two equation as shown

(m∠1-m∠3)+(m∠2-m∠2) = 180°-180°

(m∠1-m∠3)+0 = 0

m∠1-m∠3 = 0

Add m∠3 to both sides of the equation

m∠1-m∠3+m∠3 = 0+m∠3

m∠1 = m∠3 Proved!

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step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c