Question

ABCD AND PQRS are two parallelograms. angle D=60° and Q=110°. Find the unknown angle 'x'....


Solve this please............. ​

Answer 1

See, ABCD is a parallelogram right so by the property of opposite angles of a parallelogram are equal, angle ADC = angle ABC = 60°

In parallelogram PQRS, angle PQR + angle QRS = 180° ( they are supplementary angles i.e. the angles are cointerior angles, QR is the transversal

angle QPS = angle QRS

angle QPS = 70°

By angle sum property

X = 180° - (60°+70°)

X = 180°- 130°

X = 50°