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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?

The measure of arc PQR is equal to 250 degrees. The measure of arc PR is equal to-example-1
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User AgentDBA
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1 Answer

6 votes

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°.

answered
User Hamouda
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9.1k points

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