Question) A tangent ST touches a circle at B. AB is a chord such that angle ABT = 65 Degree . Find angle AOB, where O is the centre of circle .

Question

Question) A tangent ST touches a circle at B AB is a chord such
that angle ABT = 65 Degree Find angle AOB, where O is the centre of
circle

Brijendra Pal · Accepted Answer

Hi, Here using angle in alternate segment theorem , angle ABT = angle ACB = 65 degreeNow we know that angle at center will be double that of at circumference so angle AOB = 2×65 = 130 degreeRegards