Question

What is the value of a?

Answer 1

I know that c is 68 because 180°=triangle by doing 50+62=112 then 180-112=68 then the base of the triangle is the same as the 31 cm so 31+31=62 that can give u a head start but i am not a high schooler but anyway HOPE IT HELPS!!!:)

Answer 2

Note that the interior angles must add up to 180 degrees:  50+62+m<C = 180.
Then 112 + m<C = 180, so that m<C =68 degrees.

Use the Law of Sines to find the value of a, as follows:

sin 50 deg      sin 62 deg
-------------- = ----------------
       a                  31 cm
                                                          31sin 50        31(0.766)
Then 31sin 50 = a*sin 62, and a = --------------- = ---------------- = 26.9 cm
                                                          sin 62              0.883

a =