Question

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

Answer 1

Can you post the pic please

Answer 2

@FibonacciChick666

Answer 3

what can you tell me about the arc produced by angle t?

Answer 4

Nothing @FibonacciChick666

Answer 5

...why? or can you elaborate?

Answer 6

how about what arc completes the circle if you are given the arc created by T

Answer 7

i don't understand this. @FibonacciChick666

Answer 8

let's start here, what level math are you, like which grade?

Answer 9

This is geometry @FibonacciChick666

Answer 10

no duh... but there are many levels of geometry. I need to know how in depth I can get, so i need to know which grade level or college level

Answer 11

10th @FibonacciChick666

Answer 12

ok, so then I'm not sure if I can help you. I would use the thm that has been proved that only a quadrilateral with supp angles can be circumscribled, but idk if you've learned that yet

Answer 13

@jim_thompson5910 can you help?

Answer 14

i can't think of a way without using arcs either...

Answer 15

In triangle RWS, angles 1+2+3+4 = 180.
Therefore, Angle T + Angle R = angles 1+2+3+4 = 180.

Answer 16

hmm, but how can we use that? we do not have parallel sides nor since she doesn't know arcs can we say the angles are equal

Answer 17

so we have 8 unidentifyable angles

Answer 18

RW is a chord in a circle. It has two inscribed angles RSW and RTW which are the same. They are marked 1 and 1.

Answer 19

but she didn't know arcs, do you think she knows the chords? without proof of that first we cannot say that

Answer 20

we'd have to work from the ground up

Answer 21

that's the issue for me currently