Question

Which among the given options are true about the given figure?

• A. A is in the interior of both $\angle 1$ and $\angle 2$
• B. B is in the interior of only $\angle 1$
• C. C is in the interior of $\angle 1$
• D. B and C lie in the interior of $\angle 2$

Answer 1

Answer: (A), (C), (D)

The correct options are
A A is in the interior of both $\angle 1$ and $\angle 2$
C C is in the interior of $\angle 1$
D B and C lie in the interior of $\angle 2$

From the given figure, we see that, points A, B and C are in the interior of both $\angle 1$ and $\angle 2$.
Hence

• the statement 'A is in the interior of both $\angle 1$ and $\angle 2$' is true.
• the statement 'C is in the interior of $\angle 1$' is true.
• the statement 'B and C lie in the interior of $\angle 2$' is true.

Since B is in the interior of both $\angle 1$ and $\angle 2$, the statement 'B is in the interior of only $\angle 1$ is false.