Question

Draw an angle of measure 153° and divide it into four equal parts.

Answer 1

The below given steps will be followed to construct an angle of 153º measure and its bisector.

1. Draw a line l and mark a point O on it. Place the centre of the protractor at point O and the zero edge along line l.
2. Mark a point A at 153º. Join OA. OA is the required ray making 153º with line l.
3. Draw an arc of convenient radius, while taking point O as centre. Let it intersect both rays of angle 153º at point A and B.
4. Taking A and B as centres, draw arcs of radius more than `1/2`AB in the interior of angle of 153º. Let those intersect each other at C. Join OC.
5. Let OC intersect the major arc at point D. Now, with radius more than `1/2`AD, draw arcs while taking A and D as centres, and D and B as centres. Let these be intersecting each other at point E and F respectively. Join OE, OF.
   OF, OC, OE are the rays dividing 153º angle in 4 equal parts.