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2 years ago

What is the length of MN ?

Mathematics

1 answer:

solniwko [45]2 years ago

4 0

Answer:

C. 4

Step-by-step explanation:

Using the Law of Sines,

sinA / a = sinB / b

Here,

A = 63°
a = x + 8
B = 63°
b = 3x

Solving :

sin63°/x + 8 = sin63°/3x
x + 8 = 3x
2x = 8
x = 4

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3 years ago

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Likurg_2 [28]

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$m\angle M = (6x - 2)\degree \\ \\ m\angle M = (6 \times 19- 2)\degree \\ \\ m\angle M = (114- 2)\degree \\ \\ m\angle M =112\degree \\ \\ \because m\angle M + m\angle N = 180\degree \\ (adjacent \: angles) \\ \\ \therefore m\angle N = 180\degree - m\angle M \\ \\ \therefore m\angle N = 180\degree - 112 \degree \\ \\ \therefore m \angle N = 68\degree$

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