Question

In the following figure, a transversal cuts two parallel lines l and m at points $G$ and $H$ respectively and the angles thus formed are marked. If $\angle 1$ is an acute angle, then, which of the following statements is false?

• A. $\angle 3+\angle 8={180}^{\circ }$
• B. $\angle 2+\angle 5={180}^{\circ }$
• C. $\angle 1+\angle 2={180}^{\circ }$
• D. $\angle 2+\angle 6={180}^{\circ }$

Answer 1

The correct option is D $\angle 2+\angle 6={180}^{\circ }$

Explanation $:\angle 2=\angle 6$, corresponding angles.