Question

Given the image above, $\angle 1=$ and $\angle 5=$.

• A. $\angle 4$
• B. $\angle 2$
• C. $\angle 3$
• D. $\angle 2+\angle 3$

Answer 1

Answer: (A), (D)

$\angle 2+\angle 3$


According to the diagram, given in the question:
$\angle 1$ is made by the intersection of lines $AB\&CD$
$\Rightarrow \angle 1$ and $\angle 4$ are vertical angles.
$\Rightarrow \angle 1=\angle 4$
Also, $\angle 5$ is again formed by the intersection of $AB\&CD$.
$\Rightarrow \angle 5$ and $\angle CMA$ are vertical.
$\Rightarrow \angle 5=\angle CMA=\angle 2+\angle 3$
$\Rightarrow \angle 5=\angle 2+\angle 3$.