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Harrizon [31]
2 years ago
10

M <N=...the scale factor is 2

Mathematics
1 answer:
aivan3 [116]2 years ago
7 0

We know that the sum of the internal angles in each triangle is 180°.

Therefore we have the equation:

m\angle C+m\angle D+m\angle E=180^o

substitute and solve:

79+(6x+11)+(7x-14)=180\\(6x+7x)+(79+11-14)=180\\13x+76=180\ \ \ |-76\\13x=104\ \ \ |:13\\x=8

We have

m\angle N=3x+18

substitute the value of x to the expression:

m\angle N=3(8)+18=24+18=42

Answer: m∠N = 42 degrees

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