Answer :
As we know that the angle opposite to equal sides are equal.
∴ ∠1=∠2 ……(1)
Sum of all the angles of a triangle is 180°.
∠1 + ∠2 + ∠AOB=180°
∠1 + ∠2 + 100° =180° (given ∠AOB = 100°)
∠1 + ∠2=80°
∠1 + ∠1=80° (From equation 1)
2∠1=80°
∠1=40° …………….(2)
We know that the angle between the tangent and radius is 90° .
∴ ∠1 + ∠BAT=90°
40° + ∠BAT=90° (From equation 2)
∠BAT=50°
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