Question

In the given figure, if ‘O’ is the centre of the circle, AB is a chord and tangent AC at A makes an angle 55°
with AB, then measure of ∠AOB is

Answer 1

Answer:

Step-by-step explanation:

See tangent makes an angle of 90° with the radius

Therefore ,angle BAO=90°-55°

=35°

NOW ,IN TRIANGLE AOB

OA =OB (RADII )

THEREFORE ,ANGLE BAO=ANGLE ABO=35°

NOW ANGLE ABO +BAO +BOA =180°(ANGLE SUM PROPERTY)

ON PUTTING VALUES ,

ANGLE BOA=110°