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Dmitry [639]
3 years ago
7

What is the measure of ∠P, to the nearest degree?

Mathematics
1 answer:
melamori03 [73]3 years ago
6 0
By the Law of Sines
   sin(P)/MN = sin(N)/MP
   sin(P) = MN*sin(N)/MP
   ∠P = arcsin(34*sin(78°)/46) ≈ arcsin(0.722979)
   ∠P ≈ 46.30°

The measure of ∠P to the nearest degree is 46°.


_____
This measure is confirmed by drawing it using a geometry program.

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