In building of angles by using compass we will certainly learn exactly how to construct various angles with the help of ruler and also compass.
You are watching: How to draw 75 degree angle with compass
1. Building of an angle of 60° by utilizing CompassStep of Construction:
(i) Draw a ray OA.(ii) With O as centre and any an ideal radius attract an arc over OA cutting it at a allude B.
(iii) v B together centre and also the very same radius together before, draw one more arc to reduced the vault arc at C.
(iv) join OC and produce it come D.
Then ∠AOD = 60°.
2. Building of an angle of 120° by utilizing CompassStep of Construction: (i) attract a beam OA.(ii) v O as centre and any an ideal radius draw an arc cut OA in ~ B. (iii) through B as centre and also the same radius reduced the arc in ~ C, then through C as centre and same radius cut the arc in ~ D. Join OD and produce it come E.
Then, ∠AOE = 120°.
3. Construction of an angle of 30° by making use of CompassStep the Construction: (i) building an edge ∠AOD = 60° together shown.(ii) attract the bisector OE that ∠AOD.
Then, ∠AOD = 30°.
4. Building of an angle of 90° by utilizing CompassStep that Construction:(i) Take any kind of ray OA.(ii) through O together centre and any practically radius, attract an arc cutting OA in ~ B.(iii) through B as centre and also the same radius, attract an cut the an initial arc at C.(iv) v C together centre and also the same radius, reduced off one arc cut again the first arc at D.(v) with C and also D together centre and also radius of an ext than half of CD, draw two arcs cutting each various other at E, sign up with OE.
Then, ∠EOA = 90°.
5. Building of an angle of 75° by making use of CompassStep of Construction:(i) take it a ray OA.(ii) through O as centre and also any convenient radius, attract an arc cut OA at C.(iii) v C as centre and also the very same radius, attract an cutting the an initial arc in ~ M.(iv) through M together centre and the very same radius, reduced off an arc cut again the very first arc in ~ L.(v) v L and also M together centre and also radius of an ext than fifty percent of LM, attract two arcs cutting each various other at B, sign up with OB which is making 90°.(vi) currently with N and M as centres again draw two arcs cutting each various other at P.(vii) sign up with OP.
Then, ∠POA = 75°.
6. Building and construction of an edge of 105° by using CompassStep that Construction:(i) after ~ making 90° angle take L and also N as centre and draw two arcs cut each other at S. (ii) sign up with SO.
Then, ∠SOA = 105°.
7. Construction of an edge of 135° by utilizing Compass
Step the Construction:(i) build ∠AOD = 90°(ii) develop ∠AO to B.(iii) attract OE come bisect ∠DOB.∠DOE = 45°∠EOA = 45° + 90° = 135°
Then, ∠EOA = 135°.
8. Construction of an edge of 150° by using CompassStep the Construction:(i) construct ∠AOC = 120°(ii) create ∠AO to B.(iii) attract OD to bisect ∠COB.Now ∠COD = 30°Therefore, ∠AOD = 120° + 30° = 150°
Then, ∠AOD = 150°.
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Construction of angle by using Compass.
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