Question

Quadrilateral STRW is inscribed inside a circle as shown below. Write a proof showing that angles T and R are supplementary.

Answer 1

this is really straight forward if you know about circle geometry

in particular the property " the angle at the centre is double the angle at the circumference, standing on the same arc"

it looks like

Answer 2

so you are being asked to prove a quadrilateral is cyclic



mark the centre as O

start by joining SO and RO

Answer 3

so you need this diagram