Question

using a ruler and a pair of compass angles of the following measure 60 digree

Answer 1

Do you want the steps of construction?
STEPS OF CONSTRUCTION:
1.Draw a line segment AB of any length.
2.Keep the compass at point A and draw an arc (semicircle).. Such that it intersects the line segment AB..say at point C.
3.Now with the same radius, keep the pointer at C and draw an arc intersecting the earlier arc at point D.
4.Now join AD.
5.Angle DAB is the required angle.

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Answer 2

1. you can construct a 60 degree angle by drawing a straight line and setting ur compass needle on a point on the line which u drew.
2. rotate the compass on the point to make a semi circle.
3. with the same radius of the compass now cut an arc on the semi circle from the point where the straight line and the semi circle meets.
4. draw a line passing through the arc with the help of a ruler. your 60 degree is ready.

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hope it helps you.