Question

Construct angles of following using compass and ruler.
(i)52.5°
(ii)67.5°

Give only method

Answer 1

1.First make two angles i.e. 90 and 120 degrees each on same base.

2. Then bisect these two angles using compass which will be 105 degrees.

3. Now bisect 105 degrees which will be 52.5 degrees.

Note-I hope u would know how to draw 90 and 120 degrees using compass and bisect angles using compass.

To make an angle of 67.5 degrees,just bisect the angle of 135

Answer 2

1. 52.5°
First cut off an angle of 60°.
Now, Bisect the 60° angle to make it 30°.
Then, Bisect 30° and 60°, u get an angle of 45° [as (30+60)/2 = 45]
Now, u have 45° and 60°, so Bisect them and u get 52.5° [ as (45+60)/2 = 52.5]

2. 67.5 °
First cut off 60° and then 120° angles.
Now, Bisect 60° and 120° to get an angle of 90° [ as (60+120)/2 = 90]
Now, Bisect 90° and 60°, and u get an angle of 75° [as (90+60)/2 = 75]
Now, finally, Bisect 75° and 60° and u get 67.5 ° [as (60+75)/2 = 67.5]

Tried to explain in every line for ur better understanding,.. ^_^
If there are any mistakes, then sorry.

If helps, please mark it as brainliest ^_^