Question

PQ is tangent to the circle at C. In the circle, In the circle, Arc mBC=89. Find mBCP.

Answer 1

We have to use the following theorem

An Angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted arc .

And it is given that arc m BC = 89 degree.

$\angle BCP = \frac{1}{2}( m BC)$

$\angle BCP = \frac{1}{2}( 89)=44.5$

Correct option is A.