If two lines intersect each other, then the vertically opposite angles _______ .

are complementary

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are supplementary

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form a linear pair

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are equal

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Solution

The correct option is D are equal
If two lines intersect each other, then the vertically opposite angles are equal.

Here, AB and CD intersect at O.
$∠ A O C = ∠ B O D$
$∠ C O B = ∠ A O D$

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

Q. If two lines intersect at a point, then the vertically opposite angles are always equal.

Fill in the blanks:

(i) If two angles are complementary, then the sum of their measures is _______.

(ii) If two angles are supplementary, then the sum of their measures is _______.

(iii) Two angles forming a linear pair are _______.

(iv) If two adjacent angles are supplementary, they form a _______.

(v) If two lines intersect at a point, then the vertically opposite angles are always _______.

(vi) 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 _______.

If two lines intersect each other, then the vertically opposite angles are ……….

Q. Two lines intersecting each other, prove that vertically opposite angles are equal.

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If two lines intersect each other, then the vertically opposite angles _______ .

The correct option is D are equalIf two lines intersect each other, then the vertically opposite angles are equal. Here, AB and CD intersect at O. ∠AOC=∠BOD ∠COB=∠AOD

The correct option is D are equal
If two lines intersect each other, then the vertically opposite angles are equal.

Here, AB and CD intersect at O.
$∠ A O C = ∠ B O D$
$∠ C O B = ∠ A O D$