Assertion - If an angle formed by two intersecting lines is 60- then its vertically opposite angle is 60-Reason - If two lines intersect each other- then the vertically opposite angles are equal-Which of the following is correct-

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Vertically Opposite Angles

Assertion : I...

Question

Assertion : If an angle formed by two intersecting lines is $60^{\circ}$ , then its vertically opposite angle is $60^{\circ}$ .
Reason : If two lines intersect each other, then the vertically opposite angles are equal.
Which of the following is correct.

If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

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If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

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If Assertion is correct but Reason is incorrect.

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If Assertion is incorrect but Reason is correct.

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Solution

The correct option is A
If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

Explanation for the correct option:
Determining the correct statement using the properties of angles:
When two lines intersect each other then the pair of opposite angles is called vertically opposite angles and they are equal in magnitude.
Given angle is $60^{\circ}$ , So vertically opposite angle will also be $60^{\circ}$ .
So, both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
Hence, option (A) is the correct answer.

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Similar questions

Q. If two straight lines intersect each other, then prove that the ray opposite the bisector of one of the angles so formed bisects the vertically-opposite angle.

If two straight lines intersect each other then prove that the ray opposite to the bisector of one of the angles so formed bisects the vertically opposite angle.

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 _______.

Assertion : If a transversal intersects two lines such that a pair of corresponding angles is equal, then the two lines are parallel to each other.
Reason : If two lines intersect each other, then the vertically opposite angles are equal.
Which of the following is correct

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

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Assertion : If an angle formed by two intersecting lines is 60∘, then its vertically opposite angle is 60∘.Reason : If two lines intersect each other, then the vertically opposite angles are equal.Which of the following is correct.

Assertion : If an angle formed by two intersecting lines is $60^{\circ}$ , then its vertically opposite angle is $60^{\circ}$ .
Reason : If two lines intersect each other, then the vertically opposite angles are equal.
Which of the following is correct.