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Standard IX
Maths
Pair of Angles
Question

Reason
If a transversal intersects, two other parallel lines, then the sum of two interior angles on the same side of the transversal is $$180^o$$.
Assertion
If two lines intersect, then the vertically opposite angles are equal.
If two lines intersect, then the vertically opposite angles are equal.

A
Both Assertion and Reason are incorrect
B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
D
Assertion is correct but Reason is incorrect
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Solution
Verified by Toppr

Correct option is B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
When a transversal intersects two parallel lines, the angle made on the interior same side is $$180$$ degrees.
So, both are facts but reason does not explain assertion correctly.
Hence, option $$B$$ is correct.

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Similar Questions
Q1
Reason
If a transversal intersects, two other parallel lines, then the sum of two interior angles on the same side of the transversal is $$180^o$$.
Assertion
If two lines intersect, then the vertically opposite angles are equal.
If two lines intersect, then the vertically opposite angles are equal.
View Solution
Q2

Statements a and b are as given below:

a: If two lines intersect, then the vertically opposite angles are equal.

b: If a transversal intersects, two other lines, then the sum of two interior angles on the same side of the transversal is 180Ā°.


View Solution
Q3

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


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Q4

Question 23

Statements (I) and (II) are as given below:
I: If two lines intersect, then the vertically opposite angles are equal.
II: If a transversal intersects two other lines, then the sum of two interior angles on the same side of the transversal is 180āˆ˜.

Then,
(a) both (I) and (II) are true
(b) (I) is true and (II) is false
(c) (I) is false and (II) is true
(d) both (I) and (II) are false


View Solution
Q5

Question 23

Statements (I) and (II) are as given below:
I: If two lines intersect, then the vertically opposite angles are equal.
II: If a transversal intersects two other lines, then the sum of two interior angles on the same side of the transversal is 180∘.

Then,
(a) both (I) and (II) are true
(b) (I) is true and (II) is false
(c) (I) is false and (II) is true
(d) both (I) and (II) are false

View Solution