Question

In the given figure two parallel lines l,m are intersected by a tranversal. If $\angle 4={45}^{\circ }$ then $\angle 5$ is

• A. ${135}^{\circ }$
• B. ${45}^{\circ }$
• C. ${145}^{\circ }$
• D. ${155}^{\circ }$

Answer 1

The correct option is A

${135}^{\circ }$

Given,$l\parallel m$ and $\angle 4={45}^{\circ }$

$\angle 5+\angle 4={180}^{\circ }$ [ Co-interior angles]

$\Rightarrow \angle 5+{45}^{\circ }={180}^{\circ }$

$\Rightarrow \angle 5={135}^{\circ }$