Question

In parallelogram ABCD, if ∠DAC = 45,∠BAC = 32, ∠DCA = 8x, ∠BCA = 9y, find the values of x and y.

Answer 1

∠AOB=∠COD=105

∘

(Vertically Opposite Angles)

In triangle AOB,

∠BAO+∠AOB+∠OBA=180

∘

30

∘

+105

∘

+∠OBA=180

∘

∠OBA=45

∘

AB and CD are parallel

∴∠OBA=∠CDO=45

∘

(Alternate Interior angles)

Answer 2

Answer:

DBC = 38°

Step-by-step explanation:

refer to the attachment