Question

Construct an angle with the indicated measure.

$22\frac{1}{2}$

Short answer

The steps to construct the angle of $22\frac{1}{2}°$is shown in the below steps.

Step-by-step solution

Step 1. Given information:

A measure of an angle $22\frac{1}{2}°$

Step 2. Concept used:

We use basic geometric and angle concept.

Step 3. Applying the concept:

Step 1: Take any ray$OA$

Step 2: With $22\frac{1}{2}°$ as centre and any radius, draw an arc cutting OA at $B.$

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

Step 4: WithC 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 $E.$.

Step 6: Join$OE$

Step 7: With B and E as centres, draw two arcs cutting each other atF and join OF such that OF intersects the arc at $G.$

Step 8: With B and G as centres, draw two arcs cutting each other at H and joinOH.

$\angle AOH=22\frac{1}{2}°$