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Construct the 135° Angle, Using Ruler and a Pair of Compass Only. - Mathematics

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Question

Construct the 135° angle, using ruler and a pair of compass only.

Sum

Solution

Steps of construction:

To construct an angle of 135°.

  1. Draw an angle BOA = 90° at point O of given line AC.
  2. Bisect the angle BOC on the other side of OB, which is also 90°
  3. Thus, ∠BOD = ∠COD = 45°
    And, ∠AOD = 90° + 45° = 135°
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Measure of Line Segment
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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 2.6
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