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Question 7a. In the given figure, if LATO = 40°, find LAOB​

Answer»

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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