how to construct an angle of 135 degree?
 

Dear Student!

Follow the given steps to construct the angle measuring 135º.

I) Draw a line AB and take a point O on it.

II) Draw an arc with O as centre and any radius, such that it cuts AB in points C and F.

III) Taking C as centre and with the same radius taken in step II, mark an arc which intersect the arc at D. Now, with D as centre and same radius, mark an arc which intersects the arc in E.

IV) Taking D and E as centres, draw two arcs which intersect in G.

V) Join OG, which intersects the arc in I.       ( ∠GOB = ∠GOA = 90°)

VI) Now, taking I and F as centres, draw two arcs which intersect in J. Join OJ.     (∠GOJ = 45°)

 ∠JOB = ∠GOB + ∠GOJ = 90° + 45° = 135°

Thus, ∠JOB is the  angle measuring 135°.

Cheers!