Question

draw angle EFG of measure120 degree and write the steps of construction
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Answer 1

Answer:

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Step-by-step explanation:

We know that the angles in an equilateral triangle are all 60º in size.  This suggests that to construct a 60º angle we need to construct an equilateral triangle as described below.

Step 1:  Draw the arm PQ.

Step 2:  Place the point of the compass at P and draw an arc that passes through Q.

Step 3:  Place the point of the compass at Q and draw an arc that passes through P.  Let this arc cut the arc drawn in Step 2 at R.

Constructing a 120º Angle

We know that:

This means that 120º is the supplement of 60º.  Therefore, to construct a 120º angle, construct a 60º angle and then extend one of its arms as shown below.