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Question

There is a national highway running from Bangalore to Chennai. Goutham takes a shortcut, i.e. a straight left cut after some distance so that he can reach Chennai at the earliest possible. (At an angle of 40o). Can you find the unknown angle shown in the figure (in degrees)?


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Solution

The figure shown above depicts a linear pair.Capture54.PNG
Two adjacent supplementary angles form a linear pair.

One of the angles is given as 40o.
So the other angle is 180o- 40o = 140o


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