Question

If angleATO=40°,find angleAOB

Answer 1

Answer:

100°

Step-by-step explanation:

∠OAT = 90°

∠OBT = 90°

If the tangents are drawn to a circle from an external point, then they are equally inclined to the segment joining centre to the point.

∠ATO = ∠BTO = 40°

In a quadrilateral,

∠OAT+ ∠OBT+∠ATB+∠AOB = 360°

=> 90° + 90° + 80°+∠AOB = 360°

=> ∠AOB = 360° - 260° = 100°

Answer 2

Answer:

50 degree

Step-by-step explanation:

Both triangles ATO and BTO are congruent.