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Mathematics 16 Online
OpenStudy (anonymous):

If the measure of arc AB is 110calculate the measure of angle ABC. Please help!!

OpenStudy (anonymous):

|dw:1376009314565:dw|

OpenStudy (mathstudent55):

The angle formed by a tangent to a circle and a chord of the circle which intersect on the circle is half the measure of the arc.

OpenStudy (anonymous):

I still have no idea how to get the answer

OpenStudy (mathstudent55):

Did you read the problem? What is the measure of the arc?

OpenStudy (anonymous):

110

OpenStudy (mathstudent55):

Good. \( \bf {The~ \color{#00B4ff}{angle}~ formed ~by ~a ~tangent~ to~ a ~circle}\) \( \bf {and ~a ~chord ~of ~the ~circle ~which ~intersect ~on}\) \(\bf {the ~circle ~ \color{#00B4ff}{is ~half ~the ~measure ~of ~the ~arc.}} \)

OpenStudy (mathstudent55):

That is the same statement I wrote above but I highlighted the important parts. What is the measure of the angle?

OpenStudy (anonymous):

so the answer is half of 110?

OpenStudy (mathstudent55):

Correct.

OpenStudy (anonymous):

thank you!!!

OpenStudy (mathstudent55):

wlcm

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