English, asked by khyati1608, 11 months ago

Construct an angle of 90° and justify the construction.

annuannu35: put a D on the paper

annuannu35: you will see the sign of 90 degree on the upper part of D

annuannu35: draw a dot there and remove the d and join the both 0to 90

Answers

Answered by anshu2342

here is your answer hope it will help you

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Answered by sam4915

Explanation:

Justification

Join OC and BC

Thus,

OB= BC= OC

∴ △OCB is an equilateral triangle

∴ ∠BOC= 60

Join OD,OC and CD

Thus,

OD= OC= DC [Radius of equal arcs]

∴ △DOC is an equilateral triangle

∴ ∠DOC= 60

Join PD and PC

Now,

In △ODP and △OCP

OD= OC [Radius of same arcs]

DP= CP [Arc of same radii]

OP=OP [Common]

∴ △ODP≅ △OCP [SSS congruency]

∴ ∠DOP= ∠COP [CPCT]

So, we can say that

∠DOP= ∠COP=

∠DOC

∠DOP= ∠COP=

× 60= 30

Now,

∠AOP= ∠BOC+ ∠COP

∠AOP= 60+ 30

∠AOP= 90

Hence justified.

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