please help me again . please
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Sum of all angles in a circle always 360°
Hence ,
∠AOC + ∠BOC + ∠DOB + ∠AOD = 360°
→ x + y + w + z = 360°
→ x + y + x + y = 360°
Given that
x + y = w + z
Put the value we get
→ 2w + 2z = 360°
→ 2(w + z) = 360°
w + z = 180° -------------- (linear pair)
or ,
∠BOD + ∠AOD = 180°
★If the sum of two adjacent angles is 180°, then the non-common arms of the angles form a line
Hence AOB is a line.★
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