Complete the table by solving the parallelogram shown in the figure. (The lengths of the diagonals are given by c and d. Round your answers to two decimal places.)

Question

a = ____

b = 24

c = 53

d = 37

𝜃 = ____ °

𝜑 = ____ °

Answer 1

phi = 95,76

theta= 84.24

a= 38.9

Answer 2

Label the length of one-half of the diagonals

Use 26.5, 18.5, and 24 with Law of Cosines to determine included /vertical angle.

Use supplement of vertical angle above and 26.5 and 18.5 and Law of Cosines to determine value of "a".

Use value of a, b, and c and Law of Cosines to determine φ.

Use value of a, b, and c and Law of Cosines to determine θ.