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Using Ruler and Compasses, Construct the Following Angle: 15° - Mathematics

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Question

Using ruler and compasses, construct the following angle:
15°

Diagram

Solution

Steps of Construction:
(i) Draw a line segment BC.
(ii) With centre B and a suitable radius draw an arc meeting BC at P.
(iii) With centre P and with the same radius cut off the arc at Q.
(iv) Taking P and Q as curves, draw two arcs intersecting each other at D and join BD.
(v) With centre P and R, draw two more arcs intersecting each other at S.
(vi) Join BS and produce it to A.
Then ∠ABC = 15°.

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Construction of a Line Parallel to a Given Line from a Point Outside It .
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Chapter 14: Lines and Angles (Including Construction of angles) - Exercise 14 (C)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 14 Lines and Angles (Including Construction of angles)
Exercise 14 (C) | Q 1.2
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