Question

Construct and show 30⁰ angle.​

Answer 1

Step 1

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

Step 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.

Step 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).

Step 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.

Step 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 degrees. Erase any extraneous constructions if you so wish.

Answer 2

See the attachment.

Hope it helps.