In the following figure RISK and CLUE are parallelograms. Find the measure of x.

Question

In the following figure RISK and CLUE are parallelograms. Find the measure of x .

Philoid · Accepted Answer

In parallelogram RISK

∠SKR + ∠ISK = 180° [In a parallelogram sum of the adjacent angles is equal to 180°]

120° + ∠ISK = 180°

∠ISK = 180° - 120°

∠z = 60°

In parallelogram CLUE

∠UEC = ∠z = 70° [In a parallelogram opposite angles are equal]

In ΔEOS

70° + ∠x + 60° = 180° [Sum of angles of a triangles is 180°]

∠x = 180° - 130°

∠x = 50°