Question

Using ruler and compass, construct the following angles.

(i) 150°

(ii) 105°

(iii) 75°

Answer 1

Steps of Construction:

(i) 150° = 189° – \(\frac { 1 }{ 2 }\) x 60 = 180° – 30°

First draw ∠AOC = 60° then draw the bisector of ∠AOC.

Hence ∠BOP = 150° is the required angle.

(ii) Let OB be a line segment and at O construct an angle of 90°. With this vertical line construct an angle of 15° which gives required ∠BOP = 105°.

(iii) Let OB be a straight line and at O draw an angle of 60° and 90° then draw bisector of these two angles, which is the required ∠BOP = 75°.