Question

CP and CQ are two tangents to a circle, R is a
point in the alternate segment of PQ such that
PQ = RQ and angle RQP = 78º. Determine the angle
subtended by chord PQ at the centre and anglePCQ.​

Answer 1

Answer:

angle pcq =24

angle by chord pq is 132

Step-by-step explanation:

in triangle pcq..we know pc=qc

angle p=angle q=78

so angle pcq=180-2×78=24

now in square addition of all angles will be 360

so angle made by chord at centre is 360-90-90-24=132

Answer 2

Answer:

angle at the centre is 102°

and angle pcq = 78°

hope it helps.