Q10. - Geometry

Question

Construct an angle with the indicated measure.

$135°$.

Step-by-Step Solution

Answer

$\angle AOF=135°$

Step 1. Given information.

An angle $135°$.   

Step 2. Concept used.

Draw by using compass.

Step 3. Construction.

Step 1: Take any ray $OA$:

Step 2: With $O$ as centre and any radius, draw an arc cutting $OA$ at $B$ and$B\text{'}$:

Step 3: With $B$ as centre and the same radius, draw an arc cutting the first arc at $C$:

Step 4: With $C$ as centre and the same radius, draw an arc cutting the first arc again at $D$:

Step 5: With $C$and $D$ as centre and radius of more than half of $CD$, draw two arcs cutting each other at ${\rm E}$:

Step 6: Join $\mathrm{O}{\rm E}$:

Step 7: With $B\text{'}$and ${\rm E}$ as centers, draw two arcs cutting each other at $F$:

Step 8: Join $OF$:

$\angle AOF=135°$