Question
Construct the following angles at the initial point of a given ray and justify the construction:
- 45°
- 90°
✓
Answer
- Steps of construction:
- Draw a line segment AB and produce BA to C.
- Keeping A as the center and any radius draw an arc which intersects AC at D and AB at E
- Keeping D and E as center and radius more than half of DE draw arcs which intersect each other at F.
- Join FA which intersects the arc in (2) at G.
- Keeping G and E as center and radius more than half of GE draw arcs which intersect each other at H.
- Join HA.
- Steps of construction
- Draw a line segment AB.
- Keeping A as the center and any radius draw an arc which intersects AB at C.
- Keeping C as center and the same radius draw an arc which intersects the previous arc at D.
- Keeping D as the center and same radius draw an arc which intersects arc in (2) at E.
- Keeping E and D as center and radius more than half of ED draw arcs which intersect each other at F.
- Join FA.
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