Question

In trapezium PQRS, PQ II RS. If angle P = 150° then find angle S​

Answer 1

The value of the angle ∠S is 30°.

Step-by-step explanation:

• In the attached figure below, PQRS is a trapezium. PQ and RS are the parallel lines and PS and QR are the non parallel lines.
• angle ∠P = 150°       ( Given )

• In the figure, transversal line PS intersect the two parallel lines PQ and RS.

As we know, the sum of the angle pairs between two parallel is equal to 180°.

So,  ∠P  +  ∠S  = 180°

      150°  +  ∠S  = 180°

   ∴    ∠S  = 180°  - 150°

      ∴   ∠S  = 30°

 angle ∠S is 30°.