Math, asked by monika1804, 10 months ago

answer fast if u know the answer​

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Answered by kanha78
0

use trigonometric ratios.


monikasree: who is monuthoppil
monika1804: don't know????
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monuthoppil: Ok
monika1804: byy
monuthoppil: I am monuthoppil
monuthoppil: AP is the tangent to the circle
OA _|_ AP (Radius is perpendicular to the tangent at the point of contact)
∠OAP = 90 degrees
In angle OAP, 
Sin ∠OPA= OA/OP = R/2R = 1/2
∠OPA = 30
In Angle ABP,
AP = BP
∠PAB = ∠PBA
so 60+ ∠PAB + ∠PBA = 180
60+2 ∠PAB = 180
∠PAB = 180 - 60/2
∠PAB = 60
But
as ∠OAP = OBP = 90
OAP = OBP
so,
60 + x = 90
x = 30
therefore,
∠OTS = OST= 30
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