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Question

Find the angle ∠a for the below figure.

degrees.



Here the parallel lines are shown by arrow marks.

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Solution

As the two black lines are parallel and the blue line is the transversal.
Hence, b and c are alternate interior angles.


b=c=140o(by alternate interior angle theorem)

Now, for the blue and green parallel lines, black lines are transversal.

Corresponding to the lower black line, c and a are alternate interior angles.
c=a=140o

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