Question

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

(The figure is not drawn to scale.)

A. 44.5
B. 89
C. 91
D. 178

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 = (1)/(2)( m BC)`

`\angle BCP = (1)/(2)( 89)=44.5`

Correct option is A.