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gulaghasi [49]
2 years ago
12

2 lines intersect and create VERTICAL angles. One of the angles measures (3n-28) degrees and the other angle measures 83 degrees

. What is the value of n? (show your work in numbers) GIVING BRAINLIEST
Mathematics
1 answer:
kykrilka [37]2 years ago
8 0

Answer:

n=37

Step-by-step explanation:

Two lines intersect and create vertical angles.

The vertical angles are (3n-28)^\circ$ and 83^\circ.

We know that vertical angles (also called vertically opposite angles) are equal. Therefore:

(3n-28)^\circ$ = 83^\circ.\\3n=28+83\\3n=111\\$Divide both sides by 3\\n=37

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Given:

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

To find:

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Solution:

Midpoint point of NY is

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y-1=\dfrac{7}{4}x+7

Add 1 on both sides.

y=\dfrac{7}{4}x+8

Therefore, the equation of perpendicular bisector of NY is y=\dfrac{7}{4}x+8.

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