Understand the construction of Angles of 60 degrees, 120 degrees and 30 degrees. Click on the link to Watch the VIDEO explanation: Watch Video
To construct Angles of 60 degrees, 120 degrees and 30 degrees
Draw a line AB.
With A as centre, taking any suitable radius, draw an arc which cuts AB at P.
With P as centre and the radius, cut the arc at Q.
From Q, with the same radius, cut the arc R.
Join AQ and produce it to C.
Then, angle BAC is equal to 60 degrees.
Join AR and produce it to D.
Then, angle BAD is equal to 120 degrees.
Take any radius greater than half of PQ. Draw two intersecting arcs from points P and Q with the above radius.
Join this point of intersection and point A produce a line to E.
AE bisects angle BAC. Hence, angle BAE is equal to 30 degrees.
To construct Angles of 60 degrees, 120 degrees and 30 degrees
Draw a line AB.
With A as centre, taking any suitable radius, draw an arc which cuts AB at P.
With P as centre and the radius, cut the arc at Q.
From Q, with the same radius, cut the arc R.
Join AQ and produce it to C.
Then, angle BAC is equal to 60 degrees.
Join AR and produce it to D.
Then, angle BAD is equal to 120 degrees.
Take any radius greater than half of PQ. Draw two intersecting arcs from points P and Q with the above radius.
Join this point of intersection and point A produce a line to E.
AE bisects angle BAC. Hence, angle BAE is equal to 30 degrees.
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