Question

Solve MNP where N=125°,P=35°and m=12

Answer 1

Answer:

answer is 67

I hope this will help you

Answer 2

Answer:

M=20° n=28.74 p=20.12

Step-by-step explanation:

Concept

• The ratio of a triangle's side length to the sine of the opposing angle, which is the same for all three sides, is known as the sine law.

Given

N=125°

P=35°

m=12

Find

Solve MNP

Solution

∠M=?

∠N=125°

∠P=35°

We know that

All three angles of the triangle=180°

                                ∠M=180-(125+35)=180-160=20°

By Sine Law

$\frac{Sin M}{m} =\frac{Sin N}{n}\\ \frac{Sin 20}{12} =\frac{Sin 125}{n}$

$n Sin20=12Sin125$

     $n=\frac{12Sin 125}{Sin 20} \\n=28.74$

$\frac{Sin M}{m} =\frac{Sin P}{P}$

$\frac{Sin 20 }{12} =\frac{Sin 35}{p} \\p Sin 20=12 Sin 35\\p=\frac{12 Sin 35}{Sin 20} =20.12$

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