In building and construction of angle by making use of compass we will certainly learn how to construct various angles with the help of ruler and compass.

You are watching: How to construct a 75 degree angle

### 1. Building and construction of an edge of 60° by making use of Compass

Step the Construction:

(i) Draw a beam OA.(ii) With O as centre and any suitable radius draw an arc over OA cutting it at a allude B.

(iii) v B as centre and the same radius together before, draw one more arc to reduced the previous arc at C.

(iv) join OC and also produce it to D. Then ∠AOD = 60°.

### 2. Building and construction of an angle of 120° by utilizing Compass

Step of Construction: (i) attract a beam OA.(ii) through O together centre and any suitable radius draw an arc cutting OA at B. (iii) through B as centre and the exact same radius reduced the arc in ~ C, then through C together centre and same radius reduced the arc in ~ D. Sign up with OD and produce it come E. Then, ∠AOE = 120°.

### 3. Building and construction of an angle of 30° by utilizing Compass

Step that Construction: (i) building and construction an edge ∠AOD = 60° as shown.(ii) draw the bisector OE the ∠AOD. Then, ∠AOD = 30°.

### 4. Construction of an angle of 90° by making use of Compass

Step of Construction:(i) Take any kind of ray OA.(ii) v O as centre and any practically radius, draw an arc cutting OA in ~ B.(iii) v B as centre and also the exact same radius, draw an cutting the first arc at C.(iv) v C as centre and the exact same radius, cut off one arc cutting again the very first arc at D.(v) through C and also D together centre and radius of more than half of CD, attract two arcs cut each various other at E, join OE. Then, ∠EOA = 90°.

### 5. Construction of an angle of 75° by using Compass

Step the Construction:(i) take it a ray OA.(ii) with O as centre and any practically radius, attract an arc cut OA in ~ C.(iii) with C as centre and also the exact same radius, draw an cutting the first arc at M.(iv) with M together centre and also the exact same radius, reduced off an arc cut again the first arc at L.(v) with L and M as centre and radius of much more than half of LM, draw two arcs cutting each other at B, join OB i beg your pardon is do 90°.(vi) currently with N and also M together centres again attract two arcs cut each other at P.(vii) join OP. Then, ∠POA = 75°.

### 6. Construction of an edge of 105° by using Compass

Step of Construction:(i) ~ making 90° angle take it L and N as centre and draw 2 arcs cut each various other at S. (ii) sign up with SO.

Then, ∠SOA = 105°.

### 7. Building of an edge of 135° by making use of Compass

Step that Construction:(i) construct ∠AOD = 90°(ii) create ∠AO come B.(iii) draw OE come bisect ∠DOB.

∠DOE = 45°∠EOA = 45° + 90° = 135°

Then, ∠EOA = 135°.

### 8. Building and construction of an edge of 150° by using Compass

Step the Construction:(i) construct ∠AOC = 120°(ii) create ∠AO come B.(iii) draw OD to bisect ∠COB.

Now ∠COD = 30°Therefore, ∠AOD = 120° + 30° = 150°

Then, ∠AOD = 150°.

● Angle.

Interior and also Exterior of an Angle.

Measuring an angle by a Protractor.

Types of Angles.

Pairs of Angles.

Bisecting one angle.

Construction of angles by using Compass.

Worksheet top top Angles.

Geometry practice Test top top angles.

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