SOLUTION: if i have a triangle with sides 40cm, 32cm, and 15.3cm and an angle of 112 degrees where the 32cm side and 15.3cm side meet, what is the measure of the angle opposite of the side t

Question 490397: if i have a triangle with sides 40cm, 32cm, and 15.3cm and an angle of 112 degrees where the 32cm side and 15.3cm side meet, what is the measure of the angle opposite of the side that is 15.3cm?
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
You can use the law of sines
40/sin112 = 15.3 /x
x = sin 20.77, the angle opposite the 15.3 cm side.
For a check, using the law of sines the angle opposite the 32 cm side = 47.88.
47.88 degrees + 20.77 degrees + 112 degrees = 180.65, approx 180.
Cleomenius.

RELATED QUESTIONS
why cant the third side of the triangle cannot have a length of 10cm if the other two... (answered by Alan3354,cleomenius)

The following triangles, ABC and DEF are congruent. on triangle ABC: Angle ABC is a... (answered by duckness73)

The following triangles, D ABC and D DEF, are congruent. Triangle A,B,C = BASE B,C=... (answered by viji)

The sides of a triangle are 2cm, 3cm, and 4cm. Determine the measurement of the angle... (answered by Alan3354)

Two sides of a triangle have lengths of 3cm and 7cm and meet at an angle of 60 degrees.... (answered by Alan3354,MathTherapy)

if you have a triangle the smallest side = 3cm and the longest side =10cm was does x... (answered by Pieter)

What is the third side of an isosceles triangle with two angles 54 degree and one side... (answered by stanbon)

How do you find the missing side length of a triangle, when given two side lengths (12cm, (answered by cleomenius)

A triangle has sides a = 2cm, b = 3cm and ∠C = 60� find the length of side... (answered by Alan3354)