Question

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

A quadrilateral PQRS is inscribed in a circle. The measure of angle PQR is 85 degrees.

What is the measure of arc PQR?

265 °

275°

340°

190°

Answer 1

B

Answer 2

Since angle PQR is 85 degrees, that means that the measure of arc PSR is 2(85)=170 degrees. Now, the measure of arc PQR is just 360-170=190.