Question

Given : AB || CD.

If $\angle 2$ is an acute angle, then $\angle 1$ is

• A. Acute
• B. Right
• C. Obtuse
• D. Straight

Answer 1

Answer: (C)

Obtuse

$\angle 1$ and $\angle 2$ are supplementary angles .

$\Rightarrow \angle 1+\angle 2={180}^{\circ }$

Now $\angle 2$ is given acute

$\Rightarrow \angle 2<{90}^{\circ }$

$\Rightarrow \angle 1>{90}^{\circ }$

So it is an obtuse angle.