What is the value of a?

round only your answer to the nearest tenth, if necessary.

a. 26.9 cm
b. 29.5 cm
c. 32.6 cm
d. 35.7 cm

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 = 

31 is prime. and it’s prime factorization is just 31.