CONSTRACTION OF 30-DEGREE ANGLE -
To construct a 30-degree angle, you can follow these steps using a compass and a straightedge:
The angle formed by the initial ray and the line connecting the two intersection points (A and C) is a 30-degree angle.
This construction works by creating an isosceles triangle (a triangle with two sides of equal length). The angle bisector of the vertex angle (angle between the two equal sides) creates two congruent angles, each measuring 30-degrees.
Another way of Understanding -
Constructing a 30º Angle
We know that:
1/2 of 60º is 30º
So, to construct
an angle of 30º, first construct a 60º angle and then bisect it. Often,
we apply the following steps.
Step 1:- Draw the arm PQ. compass arc
Step 2:- Place the point of the at P and draw an that passes through Q.
Step 3:- Place the point of the compass at Q and draw an arc that cuts the arc drawn in Step 2 at R.
Step 4:- With the point of the compass still at Q, draw an arc near T as shown.
Step 5:- With the point of the compass at R, draw an arc to cut the arc drawn in Step 4 at T.
Step 6:- Join T to P. The angle QPT is 30º.