Question
Use a pair of compasses and construct the following angles:
$67\frac{1}{2}^\circ$
$67\frac{1}{2}^\circ$
✓
Answer
Steps of Construction:
- Draw a ray OA.
- With O as centre and any suitable radius draw an arc above OA to cut it B.
- With B as centre and same radius cut the previous arc at C and then with C as centre and same radius cut the arc at D.
- With C as centre and radius more than half CD draw an arc.
- With D as centre and same radius draw another arc to cut the previous arc at E.
- Join OE. Then $\angle\text{AOE}=90^\circ.$
- Draw the bisector OF of $\angle\text{AOE}.$
- Draw the bisector OG of $\angle\text{EOF}.$
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