Question

Construct an angle of measure ${70}^o$, then half of that angle will be :

• A. ${30}^o$
• B. ${35}^o$
• C. ${40}^o$
• D. ${45}^o$

Answer 1

Answer: (B)

${35}^o$

we know that

$\frac{1}{2}\times {70}^{\circ }={35}^{\circ }$

Steps of construction :

1. Draw the arm $PQ$.

2.Place the point of the compass at $P$ and draw an arc that passes through$Q$.

3. Place the point of the compass at $Q$ and draw an arc that cuts the arc drawn in Step 2 at $R$.

4. With the point of the compass still at $Q$ , draw an arc near $T$ as shown.

5. With the point of the compass at $R$ , draw an arc to cut the arc drawn in Step 4 at $T$.

6. Join $T$ to $P$ . The angle $\angle QPT={35}^{\circ }$