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Construct the Following Angles at the Initial Point of a Given Ray and Justify the Construction 45° - Mathematics

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Question

Construct the following angles at the initial point of a given ray and justify the construction 45°

Solution

Steps of construction:
1. Draw a line segment AB and produce BA to point C.
2. With center A and any radius drawn an arc which intersect AC at D and AB at E.
3. With center D and E and radius more than `1/2`DE draw arcs cutting each other at F.
4. Join FA which intersect arc in (2) at G.
5. With centers G and E and radius more than `1/2`GE draw arcs cutting each other at H.
6. Join HA
∴`∠`HAB = 45°

 

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Chapter 16: Constructions - Exercise 16.2 [Page 9]

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RD Sharma Mathematics [English] Class 9
Chapter 16 Constructions
Exercise 16.2 | Q 10.1 | Page 9

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