what is the measure of angle constructed at the end point of a diameter for constructing a tangent at that point ?
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Draw a circle of radius r=2cm and mark the center as O
Take a point A on the circle and join OA
Taking OA as base and O as vertex, mark an arc of 100
o
from OA and then join OB
Taking OA and OB as base and A and B as vertex respectively, draw ray perpendicular to OA and OB
These rays intersect at point T. AT and BT would be the required tangents.
We know, sum of angles in a quadrilateral =360
o
∠TAO+∠TBO+∠AOB+∠ATB=360
o
90+90+100+∠ATB=360
∠ATB=80= (Angle between tangents)
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