in a triangle two sides that measure 6cm and 10cm form an angle that measures 80 degrees. Find to the nearest degree measure of smallest angle of triangle. I found the remaining side was 12 using law of cosines, then tried to use law of sine to find remaining angle but it's not working out, help?

Question

anonymous · Answer

the smallest angle will be opposite the smallest side, 6cm

anonymous · Answer

yeah i figured that part out but when i plugged in 12 / sin 80 = 6 / sin x  and solved to find the degree it came out to a negative number, so im not sure what i'm doing wrong?

anonymous · Answer

oh wait i figured out what i was doing wrong, thanks for the help tho!

anonymous · Answer

i got sin of angle = 0.4924

anonymous · Answer

yeah and then you change do sin^-1 (.4924 etc) to get the degress but stupid me had my calculator in radians mode...bleh

anonymous · Answer

oh ! ok

anonymous · Answer

we're all human guy!

anonymous · Answer

lol yup but thanks for the help :)

anonymous · Answer

yw