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Question 8

Draw an angle of 70. Make a copy of it using only a straight edge and compasses.


Solution

Steps of construction:
(a) Draw an angle 70 with protractor, i.e., POQ=70
(b) Draw a ray ¯¯¯¯¯¯¯¯AB.
(c) Place the compasses at O and draw an arc to cut the rays of POQ at L and M.
(d) Use the same compasses, setting to draw an arc with A as centre, cutting AB at X.
(e) Set your compasses setting to the length LM with the same radius.
(f) Place the compasses pointer at X and draw the arc to cut the arc drawn earlier at Y.
(g) Join AY.
Thus, YAX=70

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