Question

using a ruler and a pair of compasses only construct; i.an angle of 45° ii.an angle of 150°

Answer 1

(i)

1.Construct a perpendicular line.

2.Place compass on intersection point.

3.Adjust compass width to reach start point.

4.Draw an arc that intersects perpendicular line.

5.Place ruler on start point and where arc intersects perpendicular line.

6.Draw 45 Degree Line.

(ii)

ake a line segment, say, AB.

Choose a point C on it.

With center C, and radius BC, draw an arc.

With center B and radius BC, cut the previous arc at say DD. (∠DCB=60∘∠DCB=60∘because we just made CD=BC=BD .)

With center D, and radius BC draw an arc.

With center B and radius BC, cut this arc at, say, EE. Then EC is the bisector of ∠BCD, and hence ∠BCE=30∘

.Then, ∠ACE=180∘−∠BCE=150∘.

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