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# HOW TO CONSTRUCT AN ANGLE OF 75 DEGREES?

Asked by Prathibha Sri Sridharane , on 5/3/11

Hi!

The below given steps will be followed to construct an angle of 75Â°.
(1) Draw a line l and mark two points O and Q on it, as shown in the figure. Draw an arc of convenient radius, while taking point O as centre. Let it intersect line l at R.
(2) Taking R as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at S.
(3) Taking S as centre and with the same radius as before, draw an arc intersecting the arc at T (see figure).
(4) Taking S and T as centre, draw an arc of same radius to intersect each other at U.
(5) Join OU. Let it intersect the arc at V. Now, taking S and V as centres, draw arcs with radius more than Â½ SV. Let those intersect each other at P. Join OP, which is the ray making 75Â° with the line l.
In this way âˆ POQ = 75Â° is constructed.

Best wishes!

Posted by Lalit Mehraon 9/3/11

This conversation is already closed by Expert

All the Best!

Posted by Prakhar Bindal(DEWAN PUBLIC SCHOOL) on 5/3/11

MA

Posted by Nischay Kumar(SNEH INTERNATIONAL SCHOOL) on 27/12/11

Hi!

The below given steps will be followed to construct an angle of 75°.
(1) Draw a line l and mark two points O and Q on it, as shown in the figure. Draw an arc of convenient radius, while taking point O as centre. Let it intersect line l at R.
(2) Taking R as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at S.
(3) Taking S as centre and with the same radius as before, draw an arc intersecting the arc at T (see figure).
(4) Taking S and T as centre, draw an arc of same radius to intersect each other at U.
(5) Join OU. Let it intersect the arc at V. Now, taking S and V as centres, draw arcs with radius more than ½ SV. Let those intersect each other at P. Join OP, which is the ray making 75° with the line l.
In this way POQ = 75° is constructed.

Best wishes!

Posted by Nischay Kumar(SNEH INTERNATIONAL SCHOOL) on 27/12/11