Question

Given ABE is a straight line.

Find angle y.

• A. ${60}^{\circ }$
• B. ${120}^{\circ }$
• C. ${150}^{\circ }$
• D. ${30}^{\circ }$

Answer 1

The correct option is A ${60}^{\circ }$

Given AD || BC,
$\Rightarrow$ x = y (Corresponding angles)
Also AB || CD,
$\Rightarrow x+2x={180}^{\circ }$ (Co-interior angles)
$\Rightarrow 3x={180}^{\circ }$
$\Rightarrow x={60}^{\circ }$ and $y={60}^{\circ }$