Question

AB is a chord to a circle and PAT is the tangent to the circle at A. If angle BAT= 65° and angle BAC=45°, C being a point on the circle , then angle ABC is equal to-

Answer 1

HERE IS YOURS SOLUTION;

◆ Angle ACB = Angle BAT =75° 【 Angles in a same segment are equal 】

◆Now, In ∆ ABC,

75° + 45° + Angle ABC =180° 【 Angle Sum Property 】

=> Angle ABC = 180° - 120°

=> Angle ABC = 60°.


◆ So, Angle ABC is 60° ◆


HOPE IT HELPS