In construction of angles by using compass we will learn how to construct different angles with the help of ruler and compass.
Step of Construction:
(i) Draw a ray OA.
(ii) With O as centre and any suitable radius draw an arc above OA cutting it at a point B.
(iii) With B as centre and the same radius as before, draw another arc to cut the previous arc at C.
(iv) Join OC and produce it to D.
Then ∠AOD = 60°.
Step of Construction:
(i) Draw a ray OA.
(ii) With O as centre and any suitable radius draw an arc cutting OA at B.
(iii) With B as centre and the same radius cut the arc at C, then with C as centre and same radius cut the arc at D. Join OD and produce it to E.
Then, ∠AOE = 120°.
Step of Construction:
(i) Construction an angle ∠AOD = 60° as shown.
(ii) Draw the bisector OE of ∠AOD.
Then, ∠AOD = 30°.
Step of Construction:
(i) Take any ray OA.
(ii) With O as centre and any convenient radius, draw an arc cutting OA at B.
(iii) With B as centre and the same radius, draw an cutting the first arc at C.
(iv) With C as centre and the same radius, cut off an arc cutting again the first arc at D.
(v) With C and D as centre and radius of more than half of CD, draw two arcs cutting each other at E, join OE.
Then, ∠EOA = 90°.
Step of Construction:
(i) Take a ray OA.
(ii) With O as centre and any convenient radius, draw an arc cutting OA at C.
(iii) With C as centre and the same radius, draw an cutting the first arc at M.
(iv) With M as centre and the same radius, cut off an arc cutting again the first arc at L.
(v) With L and M as centre and radius of more than half of LM, draw two arcs cutting each other at B, join OB which is making 90°.
(vi) Now with N and M as centres again draw two arcs cutting each other at P.
(vii) Join OP.
Then, ∠POA = 75°.
Step of Construction:
(i) After making 90° angle take L and N as centre and draw two arcs cutting each other at S.
(ii) Join SO.
Then, ∠SOA = 105°.
Step of Construction:
(i) Construct ∠AOD = 90°
(ii) Produce ∠AO to B.
(iii) Draw OE to bisect ∠DOB.
Then, ∠EOA = 135°.
Step of Construction:
(i) Construct ∠AOC = 120°
(ii) Produce ∠AO to B.
(iii) Draw OD to bisect ∠COB.
Then, ∠AOD = 150°.
● Angle.
Interior and Exterior of an Angle.
Measuring an Angle by a Protractor.
Construction of Angles by using Compass.
Geometry Practice Test on angles.
5th Grade Geometry Page
5th Grade Math Problems
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