contestada

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

PQ is tangent to the circle at C In the circle In the circle Arc mBC89 Find mBCP The figure is not drawn to scaleA 445B 89C 91D 178 class=

Respuesta :

Riia

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.

[tex] \angle BCP = \frac{1}{2}( m BC) [/tex]

[tex] \angle BCP = \frac{1}{2}( 89)=44.5 [/tex]

Correct option is A.




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