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Question

Look at the following figure and fill in the blanks :

In the figure, l and m are the parallel lines and pis a transversal.

5+2=…………..


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Solution

Co-interior angles :

Co-interior angles or consecutive interior angles are the two angles that are on the same side of the transversal. Co-interior angles are the interior angles and it sums up to 180°. As shown in the given figure :

Similarly, as per the question :

5 and 2 form a pair of co-interior angles

5+2=180° (co-interior angles adds up to 180°)

Hence, 5+2=180°.


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