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Constructions — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsConstructions4 Marks
Question
Construct the angles of the following measurements:
135°
✓

Answer


Steps of construction:

  1. Draw a line segment AB and produce BA to C.
  2. Keeping A as the centre and any radius draw an arc which intersects AC at D and AB at E.
  3. Keeping D and E as centre and radius more than half of DE draw arcs which intersect each other at F.
  4. Join FA which intersects the arc in (2) at G.
  5. Keeping G and D as centre and radius more than half of GD draw arcs which intersect each other at H
  6. Join HA.

Therefore $\angle\text{HAB}=135^\circ $

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