Question

To construct a ${135}^{\circ }$ angle using a compass and ruler only, which of these angles are required to be constructed?

• A. ${120}^{\circ }$ and ${15}^{\circ }$
• B. ${60}^{\circ }$ and ${75}^{\circ }$
• C. ${90}^{\circ }$ and ${45}^{\circ }$
• D. ${100}^{\circ }$ and ${35}^{\circ }$

Answer 1

The correct option is C ${90}^{\circ }$ and ${45}^{\circ }$

To construct an angle of ${135}^{\circ }$ using a compass and ruler only, we will first draw an angle of ${90}^{\circ }$ and then an angle of ${45}^{\circ }$ as $90+45={135}^{\circ }$