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Point A is the incenter of ΔDEF. What is the value of n?

A. 7
B. 11
C. 14
D. 15

help a brotha out.

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Point A is the incenter of ΔDEF. What is the value of n? A. 7 B. 11 C. 14 D. 15 help-example-1

2 Answers

7 votes
the answer to your question is B. 11
User Cobberboy
by
8.5k points
5 votes

Answer:

B. 11

Explanation:

We have been given an image of a triangle and we are asked to find the value of n.

Since we know that in-center of a triangle is the point, where all the angle bisectors of a triangle meet.

Since we have been given that point A is the in-center of ΔDEF. This means the that DN is the angle bisector of angle EDF, so value of
(3n-6)^(\circ) will be equal to
27^(\circ)

We can represent this information in an equation as:


(3n-6)^(\circ)=27^(\circ)


3n-6=27


3n-6+6=27+6


3n=33

Let us divide both sides of our equation by 3.


(3n)/(3)=(33)/(3)


n=11

Therefore, the value of n is 11 and option B is the correct choice.

User Roman Shevchenko
by
7.7k points
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