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HOW TO CONSTRUCT ANY OBTUSE ANGLE AND DIVIDE IT INTO FOUR EQUAL PARTS USING RULER AND COMPASS?

Asked by shabnakader 12th January 2017, 6:21 PM
Answered by Expert
Answer:
 
1. Construct any obtuse POQ = 120o.
2. With O as centre and any (suitable) radius, draw an arc to meet OP at R and OQ at S.
3. With R as centre and radius more than half of RS, draw an arc. Also, with S as centre and same radius draw another arc to meet the previous arc at B.
4. Join OB and produce it.
5. Let SR intersect OB at T.
6. With S and T as centre and radius more than half of ST, draw an arcs. Let them intersect at A.
7. With R and T as centre and radius more than half of RT, draw an arcs. Let them intersect at C.

Thus, an obtuse angle is divided into four equal parts.
Answered by Expert 13th January 2017, 1:53 PM
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