Question

In the given figure, $AB$ and $CD$ are straight lines, Find $\angle y$.

• A. ${97}^{\circ }$
• B. ${27}^{\circ }$
• C. ${77}^{\circ }$
• D. ${55}^{\circ }$

Answer 1

The correct option is B ${27}^{\circ }$

Since, $CD$ is a straight line.
$\therefore {40}^{\circ }+{35}^{\circ }+\angle BOC={180}^{\circ }$
$\Rightarrow BOC={180}^{\circ }-{75}^{\circ }={105}^{\circ }$
Now, $AB$ is a straight line.
$\therefore \angle BOC+\angle y={48}^{\circ }={180}^{\circ }$
$\therefore \angle y={180}^{\circ }-({105}^{\circ }+{48}^{\circ })={27}^{\circ }$.