Question

In the given figure, lines l and m intersect each other at a point. Which of the following can be false?

• A. $\angle a=\angle b$
• B. $\angle d=\angle c$
• C. $\angle a+\angle d={180}^{\circ }$
• D. $\angle a=\angle d$

Answer 1

The correct option is D $\angle a=\angle d$

From the given figure it is clear that,
∠a = ∠b and ∠c = ∠d [Vertically opposite angles]

Also, $\angle a+\angle d={180}^{\circ }$

and $\angle b+\angle c={180}^{\circ }$ [Linear pair]

But we dont have any information by which we can say that $\angle a=\angle d$
So, option 'd' is correct.