Question

Show that the bisectors of angles of a parallelogram from rectangle​

Answer 1

Answer:

PQRS is a rectangle

Step-by-step explanation:

Given:ABCD is a parallelogram,where AP,BP,CR are the bisectors of      ∠A,∠B,∠C,∠D respectively.

To Prove That [TPT]:PQRS is a rectangle.

Proof:In a parallelogram,

             ∠A+∠B=180°

   1/2∠A+1/2∠B=180°/2

               ∠1+∠2=180°

               ∠1+∠2=180°

In ΔAPB,

∠1+∠2+∠3=180°

    90°+∠3=180°

            ∠3=180°-90°

            ∠3=90°

Similarly we can prove ∠Q=∠R=∠S=90°

∴PQRS is a rectangle.

∴Please mark it as brainlist answer