Question

In the diagram above, if $\text{CD}$ and $\text{PQ}$ are not parallel, then, $\angle 1=$ and $\angle 6=$.

• A. $\angle 3$
• B. $\angle 4$
• C. $\angle 8$
• D. $\angle 5$

Answer 1

Answer: (A), (C)

$\angle 8$

In the diagram given above, lines $AB\&CD$ intersects each other.
$\Rightarrow \angle 1\&\angle 3$ are a pair of vertical angles.
$\Rightarrow \angle 1=\angle 3$.
Similarly, lines $PQ\&AB$ are intersecting.
$\Rightarrow \angle 5\&\angle 7$ are a pair of vertical angles
$\Rightarrow \angle 5=\angle 7$