Question
Use a pair of compasses and construct the following angles:
135°
135°
✓
Answer
Steps of Construction:
- Draw a ray OA.
- With O as centre and any suitable radius draw an arc above OA, cutting it at B.
- With B as centre and same radius as before draw another arc to cut the previous arc at C. With C as centre and same radius draw the arc to cut it at D. Again with D as centre and same radius cut the arc at E.
- Join OD and produce it to G. Then $\angle\text{AOG}=120^\circ.$
- With D as centre and radius more than half DE draw an arc.
- With E as centre and same radius draw another arc to cut the previous arc at F Join OF.
- Draw the bisector OH of $\angle\text{GOF}.$
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