Question

PQ is a tangent to a circle with centre 0 at point P. If triangle OPQ is an isosceles triangle,
then find angle OQP.​

Answer 1

Step-by-step explanation:

here point p will be point of contact

so then op perpendicular to pq

thus because of tangent theorem angle opq=90 degree now let angle o and q be x degree

so then as it is an isoceles triangle

angle o=angle q=x

now use sum of all angles of triangle property

ie angle opq+angle pqo+angle qop=180

therefore

90+x+x=180

so 2x=90

x=45 degree

thus angle oqp=45 degree

so 45-45-90 triangle is formed

hence this the answer u can surely bet on it