SOLUTION: using law of sines, find all missing measurements in the triangle KZM: angle K= 75 degrees angle Z= 53 degrees and side KZ=26

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Question 250734: using law of sines, find all missing measurements in the triangle KZM:
angle K= 75 degrees
angle Z= 53 degrees
and side KZ=26

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find all missing measurements in the triangle KZM:
---
using law of sines, find all missing measurements in the triangle KZM:
angle K= 75 degrees
angle Z= 53 degrees
and side KZ=26
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The side opposite angle K is ZM
The side opposite angle Z is KM
The angle opposite KZ is M
----------------------------------
Angle M = 180-(75+53)
Angle M = 52 degrees
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Law of Sines:
MZ/sin(75) = KZ/sin(52)
---
MZ = (sin(75))[26/sin(52)]
---
MZ = 31.87
=====================
MK/sin(53)=26/sin(52)
---
MK = (sin(53))[26/sin(52)]
---
MK = 26.35
====================
Cheers,
Stan H.