Question

from the given figure find angle opr 'o' is the centre of the circle.​

Answer 1

Answer:

OPR=10°

Step-by-step explanation:

PQR=100°

Then by theorem, angle made by a sector to the centre of a circle is double by the angle made by that sector on the circumference of circle

2PQR=reflexPOR

2×100°=reflexPOR

200°=reflexPOR

Since, POR+reflexPOR=360°

POR+200°=360°

POR=160°

And POR+OPR+PRO=180°

[OPR=PRO as PO=OR]

160°+2OPR=180°

2OPR=20°

OPR=10°