Question

A quadrilateral PQRS is inscribed in a circle, as shown below.



What is the measure of arc PQR?
100°
200°
260°
320°

Answer 1

100

Answer 2

sorry

Answer 3

200

Answer 4

can you explain me how, because i have other questions like this one

Answer 5

ok . angle pqr is 80. this angle is what is called an inscribed angle--an angle inside a circle whose rays run from a point ON the cricle to2 other point ON the circle. The arc that angle pqr' rays intercept is equal to 2 times the angle. So arc rsp =160. Now since there are 360 degrees of arc in any circle, arc pqr must be 360-160=200.

OK?

Answer 6

yea thanks, that really helped (:

Answer 7

great!