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.

fifth Grade Geometry Page 5th Grade math Problems From construction of angles by using Compass to house PAGE


New! Comments

Have her say around what you simply read! leaving me a comment in package below. Asking a concern or price a Question.

See more: Simplify Square Root Of 14 In Radical Form ? Square Root Of 14 Simplified


Didn"t find what you to be looking for? Or want to know much more informationabout Math just Math.Use this Google search to find what you need.