SOLUTION: Line p is tangent to *symbol of a point within a circle* C at A, and line q passes through C. Lines p and q intersect at B. If m∠CBA = 14, determine m∠ACB.

Algebra ->  Circles -> SOLUTION: Line p is tangent to *symbol of a point within a circle* C at A, and line q passes through C. Lines p and q intersect at B. If m∠CBA = 14, determine m∠ACB.      Log On


   

Question 1177265: Line p is tangent to *symbol of a point within a circle* C at A, and line q passes through C. Lines p and q intersect at B. If m∠CBA = 14, determine m∠ACB.
Found 3 solutions by Solver92311, MathLover1, greenestamps:
Answer by Solver92311(821) About Me  (Show Source):
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How can a line be tangent to a point "within" a circle? Use imagur.com or some other graphics sharing app to provide a diagram.

John

My calculator said it, I believe it, that settles it

From
I > Ø

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
these two lines, p+and q, should create a right triangle with one of the angle being CBA and+ACB is the other angle
so, m ∠ ACB=90-14=76


Answer by greenestamps(13216) About Me  (Show Source):
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From the description, triangle ABC is a right triangle, because AC is a radius to tangent BC; a radius to a point of tangency is perpendicular to the tangent.

So angles CBA and ACB are the acute angles of a right triangle and so are complementary. Given that the measure of angle CBA is 14 degrees, the measure of angle ACB is 90-14 = 76 degrees.