Question

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

Answer 1

Step-by-step explanation:

by dividing the right angle 45° can be got and drawing a dividing 30° over 60° and repeating it twice can make 150°

there's another easy way

first draw two 60° angle on a straight angle having common leg. then divide the last 60°

Answer 2

Answer:

(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∘.

HOPE IT HELPED YOU!