Question

In fig. BOA is a diameter of circle
and tangent at Point P meets
BA Produced at T. If angle BPO
=30 what is measure of angle PTA​

Answer 1

Step-by-step explanation:

angle opa is 90. ( because angle between a radius and tangent is 90.

therefore angleangle bpt = 30 +90=120

angle Pbt=angle bpo. (isoceles triangle theorem ans Po and bo are radius of the same circle)

in triangle bpt

30+90+ angle ptb=180

therefore angle ptb= 180-120angle ptb = 60

angle ptb = angle pta

hence angle pta = 60