Question

In the figure below, ABCD is a parallelogram. Find all angles of
parallelogram.

Answer 1

Step-by-step explanation:

Given - AB ║ CD  &  AD ║ BC

To find - ∠A, ∠B, ∠C & ∠D

Solution -

               ∠ADB = 2x

                    28° = 2x

                        x = 14°

∠D = 28° + 3x

      = 28° + 3*14°

      = 28° + 42°

      = 70°

∠B = ∠D                               (Opposite angles of a parallelogram are equal)

∠B = 70°

∠C = 5x

∠C = 5*14

∠C = 70°

∠A = ∠C                             (Opposite angles of a parallelogram are equal)

∠A = 70°

                             

                                                             

# HOPE IT WILL HELP YOU