what is the justification for 90 degree angle
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straight angle i hope this will help u
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Answer:
Justification
To prove ∠POA = 90°
To prove this, draw a dotted line from the point O to C and O to D and the angles formed are:
From the construction, we note that
OB = BC = OC
Hence, OBC is an equilateral triangle
So that, ∠BOC = 60°.
Likewise
OD = DC = OC
Hence, DOC is an equilateral triangle
So that, ∠DOC = 60°.
From SSS triangle congruence rule
△OBC ≅ OCD
So, ∠BOC = ∠DOC [By C.P.C.T]
Hence, ∠COP = ½ ∠DOC = ½ (60°).
∠COP = 30°
To determine ∠POA = 90°:
∠POA = ∠BOC+∠COP
∠POA = 60°+30°
∠POA = 90°
Hence, Proved
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