12.
In the given figure, O is the centre of a circle, AB is a chord and AT is the tangent at A. If ZAOB = 100°, then calculate ZBAT.
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Answer:
50°
Step-by-step explanation:
construction- make an angle ADB on the circumferenceof the circle
angle ADB = half of angle AOB. [reason - angle at the centre is twice the corresponding inscribed angle ]
therefore Angle ADB =50°
angle ADB = angle BAT. [reason- angles in alternate segment]
therefore angle BAT =50°
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