The three shown circles, with radius 15 in., 10.5 in., and 4.5 in., are tangent to each other. (a) Calculate the angle (in degrees) by using the Law of Cosines. (Law of Cosines: c2=a2+b22abcos ) (b) Calculate the angles and (in degrees) using the Law of Sines. (c) Check that the sum of the angles is 180. Law of sines: sina=sinb=sinc Use the variables Gam, Bet, Alp and SumAng for ,,, and the sum of the angles. Output of Part 3 Gam = 94.4117 Bet = 49.6798 Alp = 35.9085 SumAng = 180 Hints for Part 3 The length of each of the sides a,b and c is the sum of the radii of two of the circles in the figure. (a) Solve the Law of Cosines for cos() : cos()= expression 1 Calculate the angle as: = acosd(expression1) (b) Solve the Law of Sines for sin() in terms of b,c and sin() : sin()= expression2 Calculate the angle as: = asind(expression2) Solve the Law of Sines for sin() in terms of a, c and sin() : sin()= expression 3 Calculate the angle as: = asind(expression3)