Question

What is the measure of arc PQR?

210°

255°

105°

75°

Answer 1

Can you find the measure of arc PSR?

Answer 2

im not sure how to solve any part of it? i at least want to know the formula to be able to do it myself.

Answer 3

The basic idea is this

if you can find arc PSR, you can use the fact that arc PQR must add with arc PSR to get 360 degrees


So


arc PSR + arc PQR = 360

arc PQR = 360 - arc PSR


To find arc PSR, you simply double the given angle (this is using the inscribed angle theorem)

Answer 4

so the measure of PSR would be 150?

Answer 5

yes

Answer 6

which would make arc PQR to be ???

Answer 7

225?

Answer 8

not quite

Answer 9

ohhhhh its 210?

Answer 10

yes

Answer 11

thanks :) can you help me with another question that seems similar? ill post it.

Answer 12

sure