Question

The given pair resembles a relationship.

$\angle SXQ:\angle UYQ::\angle HAK:?$

Find the appropriate angle that can fit in the place of question mark for the given figure. Parallel lines are shown by arrow marks.

• A. $\angle JBH$
• B. $\angle HBI$
• C. $\angle GBI$

Answer 1

The correct option is B $\angle HBI$

The given figure is
For the first figure, $\angle SXQ$ and $\angle UYQ$ are corresponding angles.
Here, the relationship is of corresponding angles.
We know that corresponding angles formed by intersection of transversal line and parallel lines are equal.
$\angle SXQ:\angle UYQ=1:1$


From the second figure, the corresponding angle of $\angle HAK$ is $\angle HBI.$
$\Rightarrow \angle HAK:\angle HBI=1:1$

$\therefore$ The correct relationship is $\angle SXQ:\angle UYQ::\angle HAK:\angle HBI$