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Construct the 30° Angle, Using Ruler and a Pair of Compass Only. - Mathematics

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Question

Construct the 30° angle, using ruler and a pair of compass only.

Sum

Solution

Steps of construction:

To construct an angle of 30°.

  1. Draw a line OB of any suitable length.
  2. At O, draw an arc of any size to cut OB at D.
  3. With D as a centre, draw the same size arc, to cut the previous arc at C.
  4. Join OC and extend up to a suitable point A. Then, ∠AOB = 60°.
  5. Bisect this angle of get two angles each of 30°. Thus, ∠EOB = 30°.
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Chapter 25: Properties of Angles and Lines (Including Parallel Lines) - Exercise 25 (C)

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Selina Mathematics [English] Class 6
Chapter 25 Properties of Angles and Lines (Including Parallel Lines)
Exercise 25 (C) | Q 2.4
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