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Question

Fill in the blanks :

In the figure :

6 and 7are equal because they are ……………… angles.


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Solution

Vertically opposite angles :

When two lines intersect, the opposite angles are equal. These angles are called vertically opposite angles because they are opposite to each other at a vertex. As shown in the given figure :

1,3 and 2,4are two pairs of vertically opposite angles that are equal to each other.

Similarly, as per the question :

6 and 7 are opposite to each other.

So, 6 and 7 are vertically opposite angles.

6=7 (Vertically opposite angles are equal)

Hence6 and 7are equal because they are vertically opposite angles.


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