Question

in the adjoining figure , chord PQ and chord RD intersect each other at point T prove that-

Answer 1

Answer:

Step-by-step explanation:

The sum of angles arc of two intersected chords are equal to the sum of angles.

∠PTS + ∠QTR = ∠POS +∠QOR

∠PTS = ∠QTR ( Vertical opposite angles are equal )

In PTS

arc PYS = ∠PTS × PT

In TQR

arc QXR = ∠QTR × SR

arc PYS +arc QRS = ∠PTS × PT + ∠QTR × SR

∠ PTS = 1/2 (arc PYS +arc QRS)