Question

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

Answer 1

so we know that interior angles for a quadrilateral add up to 360

Answer 2

I just got since inscribed angles are half of their intercepted arcs, angle T + angle R is half of 360 because 360 is the sum of the intercepted arcs. Half of 360 is 180, so angle T + angle R is 180 degrees. If two angles add up to 180, then they are supplementary, so angle T and angle R are supplementary.

Answer 3

basically interior angles inside the quad add up to 360 and opposite quadrilateral interior angles are supplementary which means they add to 180, you can also take in consideration the shape of the quadrilateral since it seems to be uniform, it follows the this basic rules :)

Answer 4

so yeah your explanation looks great

Answer 5

http://prnt.sc/by09w1

Answer 6

that will help you see what im saying but i'm sure you got a good grasp of it