An angle is formed by a tangent and chord drawn from the point of tangency. What is the measure of an arc intercepted by this angle if the angle measures 22.5°?

Question

anonymous · Answer

The measure of an angle formed by a tangent and a chord meeting at the point of tangency is half the measure of the intercepted arc. So, what do you think the answer is?

anonymous · Answer

@hlyweiman Do you still need help finding the answer.

anonymous · Answer

Is it 45 degrees? @mangorox

anonymous · Answer

@hlyweiman  No, the point of tangency is HALF the measure of the intercepted arc. So, take 22.5 and divide it by 2 to get the correct answer.

anonymous · Answer

So it's 11.25

anonymous · Answer

Exactly!

anonymous · Answer

Thanks and I have another question that's fairly similar and I'm wondering if you could help me with it please?

anonymous · Answer

Sure, I'll be glad to try and help!

anonymous · Answer

What is the measure of an angle formed by a tangent and a secant drawn to a circle from an external point if it intercepts arcs whose measures are 150° and 40°?

anonymous · Answer

The point is external then the result is A (150-40)/2=.55°

anonymous · Answer

Thanks so much!! Your're such a great help!

anonymous · Answer

No problem!