construct angle of 120 with step.and verification
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Answer:
Steps of Construction:
1. Draw a line segment of any measure named as PQ.
2. With P as centre draw an angle of 120
o
with the help of protractor.
3. With P as centre again draw an arc which cuts line segments PQ and PS at M and N.
4. With M and N as centres and with radius little more than half the arc, draw arcs cutting each other at T. Join PT which is the required bisector of ∠SPQ=120
o
∴∠TPQ=∠TPS=60
o
(each)
solution
Answered by
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Answer:
120° angle can be constructed using the logic that 60° + 120° = 180°. Thus, we can understand that in order to construct 120° we can construct 60° angle and then further extend one of its arms as shown below in the figure.
Step-by-step explanation:
Step 1: Draw the arm PQ.
Step 2: Then place the point of the compass at P and draw an arc such that it passes through Q.
Step 3: Now place the point of the compass at Q and draw an arc such that it passes through P. The arc drawn at this step should cut the arc drawn in the above step at R.
Step 4: Now joining P to R. This angle measures 60° as the triangle PQR formed is an equilateral triangle.
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