RA and RB are two tangents from a common point ‘R’ outside the circle with centre ‘O’, having a radius of 6 cm. If ∠ARB = 70°, find the measure of the angle AOB
Answer & explanation
Correct answer: option 2
In quadrilateral AOBR
∠A + ∠B + ∠O + ∠R = 360º
[ Angle made by radius on tangent touching circumference is 90º ]
90º + 90º + ∠O + 70º = 360º
∠O = 110º
So, ∠AOB = 110º