Question

Construct an angle with the indicated measure.

$135°$.

Short answer

$\angle AOF=135°$

Step-by-step solution

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 $OF$:

$\angle AOF=135°$