Question

The measure of arc PQR is equal to 250 degrees. The measure of arc PR is equal to 110 degrees. What is the measure of angle 2?

Answer 1

Okay, here we have this:

Considering the provided figure and information, we are going to calculate the requested measure of the angle, so we obtain the following:

So let's remember that the measure of the angle formed by two tangents is equal to the line of the two arcs formed in the circle divided by two, then we have:

m∠2=(measure of arc PQR-measure of arc PR)/2

m∠2=(250°-110°)/2

m∠2=(140°)/2

m∠2=70°

Finally we obtain that the measure of angle 2 is equal to 70°.