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 Compass

Step 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 Compass

Step 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 Compass

Step 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 Compass

Step 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 Compass

Step 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 Compass

Step 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 Compass

Step 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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Measuring an edge by a Protractor.

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Pairs of Angles.

Bisecting an angle.

Construction of angle by using Compass.

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