Question

In the given figure(not drawn on scale), $AB$ and $CD$ are straight lines. Find $\angle y$.

• A. ${97}^{\circ }$
• B. ${27}^{\circ }$
• C. ${17}^{\circ }$
• D. ${55}^{\circ }$

Answer 1

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

Given AB is a straight line.
$⟹\angle AOD+{40}^{\circ }+{35}^{\circ }={180}^{\circ }⟹\angle AOD={180}^{\circ }-{75}^{\circ }={105}^{\circ }$

Now, CD is also a straight line.
$⟹\angle AOD+{48}^{\circ }+y={180}^{\circ }⟹{105}^{\circ }+{48}^{\circ }+y={180}^{\circ }⟹y={180}^{\circ }-{153}^{\circ }={27}^{\circ }$