in the given figure if o is the centre of a circle. AB is a chord and the tangent AC at A makes an angle 60 degree with AB, then find the Angle AOB.
ANSWER WITH CORRECT EXPLANATION WILL BE MARKED AS THE BRAINLIEST.
Attachments:
Answers
Answered by
2
Answer:
120 is the correct answer hope it will help u.
Answered by
8
Answer:
/_ AOB = 120
Step-by-step explanation:
/_OAC = 90 DEGREE ( BECAUSE THE RADIUS DRAWN FROM A CIRCLE IS ALWAYS PERPENDICULAR TO THE TANGENT.)
GIVEN,
/_BAC = 60 DEGREE
/_OAB = /_OAC - /_BAC
/_OAB = 90 - 60
/_OAB = 30 DEGREE
/_OAB = /_OBA = 30 DEGREE (BECAUSE ANGLES OPPOSITE TO THE SAME SIDE ARE EQUAL)
/_OAB+/_BOA +/_OBA = 180° (BECAUSE SUM OF ALL ANGLES OF TRIANGLE IS 180°)
/_BOA + 30 + 30 = 180°
/_BOA = 180° - 60°
/_BOA = 120°
HOPE IT HELPS YOU
Similar questions