Question

In figure lines, l and m intersect each other at a point.

Which of the following is false?

• A. $\angle a=\angle b$
• B. $\angle d=\angle c$
• C. $\angle a+\angle d=180°$
• D. $\angle a=\angle d$

Answer 1

The correct option is D

$\angle a=\angle d$

Explanation for Correct Option:

Option (D):

From the figure, we observe that

$\angle a$ and $\angle d$ are supplementary angles.

$\therefore \angle a\ne \angle d$

Explanation for Incorrect Option:

Option (A):

$\angle a=\angle b$ [because vertically opposite angles]

Option (B):

$\angle d=\angle c$ [because vertically opposite angles]

Option (C):

$\angle a+\angle d=180°$ [Linear pair of angles]

Hence, option (D) is false.