APB is a tangent to a circle with centre O at a point P.Q is a point on the circle and PQ makes a chord.If angleQPB=50,then what is the measure of anglePOQ

Asked by Vineeth Daniel | 22nd Jan, 2014, 06:06: PM

Expert Answer:

Consider the following figure.
 
 
P and Q are two points on the circle and APB is a tangent to the circle at the point P
 
Since,
we have,
Also, we have,
In an isosceles triangle, the base angles are equal and hence we have,
Now in triangle , by angle sum property, we have
 

Answered by Vimala Ramamurthy | 23rd Jan, 2014, 09:25: AM

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