Question

2. Construct an angle of 30° using compasses and ruler. Now construct an angle of
measure 15° using compasses.​

Answer 1

Step-by-step explanation:

1.Draw a ray AB. Let A be the vertex of the angle we're going to construct.

2.Place the tip of the compass on A and draw an arc which cuts AB at some point (say X). Let's call this arc as Arc One. Retain this width of the compass for the remaining steps.

3.Place the tip of the compass on X and draw another arc (call it Arc Two) which cuts Arc One at some point (say Y).

4.Place the tip of the compass on Y and draw another arc (Arc Three) so as to cut Arc Two at a point (say Z) which is on that side of Arc Two which does not contain the point A.

5.Connect the points A and Z with a straight line and extend it to form a ray AC.

The measure of the angle CAB is 30°. Erase any extraneous constructions if you so wish.