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Q.

If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are ____.
 


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Detailed Solution


If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are obtuse.
We know that in a pair of intersecting line, opposite angles are called vertically opposite angles which are always equal.
So, if a pair of vertically opposite angles are acute then the other pair would also be obtuse to satisfy the angle sum property.
Therefore, the required answer is obtuse.
 
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