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

Label all measures!

Use Law of Cosines to determine vertical angle.

Use Law of Cosines and supplement of vertical angle to determine a

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

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