Draw ÐPOQof measure 75° and find itsline of symmetry.
Draw ÐPOQof measure 75° and find itsline of symmetry.
The below given stepswill be followed to construct an angle of 75°and its line of symmetry.
(1) Draw a line l and mark two points O and Q on it, as shownin the figure. Draw an arc of convenient radius, while taking point Oas centre. Let it intersect line l at R.
(2) Taking R as centre and with the same radius as before, draw anarc intersecting the previously drawn arc at S.
(3) Taking S as centre and with the same radius as before, draw anarc intersecting the arc at T (see figure).
(4) Taking S and T as centre, draw an arc of same radius to intersecteach other at U.
(5) Join OU. Let it intersect the arc at V. Now, taking S and V ascentres, draw arcs with radius more than 
SV.Let those intersect each other at P. Join OP, which is the ray making75° with the line l.
(6) Let this ray be intersecting our major arc at point W. Now,taking R and W as centres, draw arcs with radius more than RWin the interior of angle of 75º. Let these be intersecting eachother at X. Join OX.
OXis the line of symmetry for ÐPOQ= 75°.
The below given stepswill be followed to construct an angle of 75°and its line of symmetry.
(1) Draw a line l and mark two points O and Q on it, as shownin the figure. Draw an arc of convenient radius, while taking point Oas centre. Let it intersect line l at R.
(2) Taking R as centre and with the same radius as before, draw anarc intersecting the previously drawn arc at S.
(3) Taking S as centre and with the same radius as before, draw anarc intersecting the arc at T (see figure).
(4) Taking S and T as centre, draw an arc of same radius to intersecteach other at U.
(5) Join OU. Let it intersect the arc at V. Now, taking S and V ascentres, draw arcs with radius more than SV.Let those intersect each other at P. Join OP, which is the ray making75° with the line l.
(6) Let this ray be intersecting our major arc at point W. Now,taking R and W as centres, draw arcs with radius more than RWin the interior of angle of 75º. Let these be intersecting eachother at X. Join OX.
OXis the line of symmetry for ÐPOQ= 75°.
