Draw AngleDEF = 72degree. Construct 3/4 AngleDEF using compass.
Please answer my question urgently. My exam is on 20th Thursday.
As you cannot construct an angle of 72 using compass and ruler. You can easily draw angles which are multiples of 15 with the help of compass.
So first you draw an angle of 72 with the help of a protractor and then you can construct of that angle.
Steps of construction for 54 angle.
1) Draw a ray XY .
2) Draw AXY = 72 using protractor.
3)Taking X as centre and any convenient radius,draw an arc intersecting AX and XY at O and P respectively.
4) Taking P and O as centres and radius more than half OP, draw two arcs intersecting at M.
5) Draw a ray XB passing through M. Let this ray intersect the arc OP at Q.
6)Taking Q and O as centres and radius more than half QO, draw two arcs intersecting at N.
7)Draw a ray XC passing through N.
Thus CXY =
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Justification:-
Here we first draw AXY= 72.Then bisect this angle to get BXY= 36.Then again bisect the angle between AX and BX to get CXY= 54
So first you draw an angle of 72 with the help of a protractor and then you can construct of that angle.
Steps of construction for 54 angle.
1) Draw a ray XY .
2) Draw AXY = 72 using protractor.
3)Taking X as centre and any convenient radius,draw an arc intersecting AX and XY at O and P respectively.
4) Taking P and O as centres and radius more than half OP, draw two arcs intersecting at M.
5) Draw a ray XB passing through M. Let this ray intersect the arc OP at Q.
6)Taking Q and O as centres and radius more than half QO, draw two arcs intersecting at N.
7)Draw a ray XC passing through N.
Thus CXY =
Justification:-
Here we first draw AXY= 72.Then bisect this angle to get BXY= 36.Then again bisect the angle between AX and BX to get CXY= 54