Question

to construct an angle of measure 82.5 degree using ruler and compass what should be the breakup of angle

Answer 1

We have to construct an angle of measure 82.5 degree using ruler and compass.

Now question is about what should be the breakup of angle.

Using compass we can easily draw angles like 60 degree, 90 degree, 30 degree etc.

So we need to rewrite 82.5 degree in terms of basic angles that we can construct using compass.

we can rewrite 82.5 as:

82.5 = 60+22.5

82.5 = 60+ (45/2)

82.5 = 60+ (90/4)

So that means we can draw 60 degree angle using rular and compass.

Now draw 90 degree using one side of the angle drawn before.

Bisect that 90 degree angle to get 45 degree angle.

then bisect 45 degree angle which is adjacent to side of 60 degree angle to get 22.5 degree.

now angle using combination of (60+22.5) degree will be the required 82.5 degree.