Q9. - Geometry

Question

Construct an angle with the indicated measure.

$45°$.

Step-by-Step Solution

Answer

$\angle AOH=45°.$

Step 1. Given information.

An angle $45°$.   

Step 2. Concept used.

Draw by using compass.

Step 3. Construction.

Step 1: Take any ray $\mathrm{O}{\rm A}$.

Step 2: With $\mathrm{O}$ as centre and any radius, draw an arc cutting $\mathrm{O}{\rm A}$ at $B$.

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 $B$and ${\rm E}$ as centers, draw two arcs cutting each other at $F$ and join $OF$ such that $OF$ intersects the arc at $G$.

$\angle AOH=45°.$