Question

✨Construct angles 30° , 45° , 60° , 90° 120° without the use of protractor.✨

▶️Write the steps of construction of each of the following !

⭐⭐⭐Note :- No Spam.⭐⭐⭐

Answer 1

So buddy..no spam .
let's begin...

we can use compass for these angle to construct.

Answer 2

Steps of construction :

(i) 30°

Step 1 : Draw a ray AB.

Step 2 : With O as a centre and any radius draw an arc cutting AB at P.

Step 3 : With P as a centre draw an arc at R to make ∠AOC = 60°.

Step 4 : Draw the bisecor of ∠AOC, with P and R as a centre, draw an arc.

Step 5 : Join OD.

Hence, ∠AOD = 30° is the required angle.

(ii) 45°

Step 1 : Draw a ray AB.

Step 2 : With O as a centre and any radius draw an arc cutting AB at P.

Step 3 : With P as a centre draw an arc at Q, with Q as a centre draw an arc at R. With Q and R as centre draw an arc to construct ∠AOC = 90°.

Step 4 : Draw the bisecor of ∠AOC, with P and S as a centre, draw an arc.

Step 5: Join OD.

Hence, ∠AOD = 45° is the required angle.

(iii) 60°

Step 1 : Draw a ray AB.

Step 2 : With O as a centre and any radius draw an arc cutting AB at P.

Step 3 : With P as a centre, draw an arm at Q.

Step 4 : Join OC

Hence, ∠BOC = 60° is the required angle.

(iv) 90°

Step 1 : Draw a ray AB.

Step 2 : With O as a centre and any radius draw an arc cutting AB at P.

Step 3 : With P as a centre draw an arc at Q, with Q as a centre draw an arc at R.With P as a centre draw an arc at Q, with Q as a centre draw an arc at R. With Q and R as centre draw an arc at S, to construct ∠AOC = 90°.

Step 4 : Join OB

Hence, ∠AOB = 90° is the required angle.

(v) 120°

Step 1 : Step 1 : Draw a ray AB.

Step 2 : With O as a centre and any radius draw an arc cutting AB at P.

Step 3 : With P as a centre draw an arc at Q, with Q as a centre draw an arc at R.

Step 4 : Join OD.

Hence, ∠AOD = 120° is the required angle.