Question 7
a. In the given figure, if LATO = 40°, find LAOB
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Answer:
Angle AOB=140°
Step-by-step explanation:
In the quatdrilateral TAOB, TAO and Angle TBO are both equal to 90° for being tangent to the circle from the external point T.
Since, the sum of all the internal angles of quadrilateral is 360°, then leaving the two right angles, the remaining angle should sum up to 180°
So,
Angle ATO + Angle AOB = 180°
40°+ Angle AOB = 180°
Angle AOB = 180°- 40°
Angle AOB = 140°
HOPE THIS HELPS YOU
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