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Prathibha Sri Sridharane from FAHAHEEL AL-WATANIEH INDIAN PVT. SCHOOL, asked a question
Subject: Math , asked on 5/3/11

HOW TO CONSTRUCT AN ANGLE OF 75 DEGREES?

EXPERT ANSWER

Lalit Mehra , Meritnation Expert added an answer, on 9/3/11
7672 helpful votes in Math

 

Hi!
Here is the answer to your question.
 
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!

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Prakhar Bindal From Dewan Public School, added an answer, on 5/3/11
1417 helpful votes in Math

  Here is the answer to your question.

 

All the Best!

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Nischay Kumar From Sneh International School, added an answer, on 27/12/11
5 helpful votes in Math
Hi!
Here is the answer to your question.
 
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!
  • Was this answer helpful?
  • 1
Nischay Kumar From Sneh International School, added an answer, on 27/12/11
5 helpful votes in Math

MA

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