Question

In the figure, given above, CD is parallel to AB. Calculate $\angle y$.

• A. ${36}^o$
• B. ${60}^o$
• C. ${45}^o$
• D. none of the above

Answer 1

The correct option is B ${60}^o$

In $△ABC$
$\angle ABC+\angle BAC+\angle BCA=180$
$3x+2x+4x=180$
$9x=180$
$x=20$
Hence, $\angle ABC=60$
Since, $AB\parallel CD$
Thus, $\angle ABC=y$ (Corresponding angles)
or $y={60}^{\circ }$