Question

In figure line l intersects two parallel lines $ PQ$ and $ RS$. Then, which one of the following is not true?

• A. $\angle 1=\angle 3$
• B. $\angle 2=\angle 4$
• C. $\angle 6=\angle 7$
• D. $\angle 4=\angle 8$

Answer 1

The correct option is D

$\angle 4=\angle 8$

Explanation for Correct Option:

Option (D):

$\angle 4$ and $\angle 8$ are neither alternate nor corresponding pairs.

Hence, they are not equal.

$\therefore \angle 4\ne \angle 8$

Explanation for Incorrect Option:

Option (A):

$\angle 1$ and $\angle 3$ are corresponding pairs.

Hence, they are equal.

$\therefore \angle 1=\angle 3$

Option (B):

$\angle 2$ and $\angle 4$ are corresponding pairs.

Hence, they are equal.

$\therefore \angle 2=\angle 4$

Option (C):

$\angle 6$ and $\angle 7$ are alternate exterior pairs.

Hence, they are equal.

$\therefore \angle 6=\angle 7$

Hence, option (D) is not true.