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Find the value of ‘x’ in the following diagrams.  ∠AOC + ∠COB + ∠BOD + ∠DOA = 360° 

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Find the value of ‘x’ in the following diagrams. 

∠AOC + ∠COB + ∠BOD + ∠DOA = 360° 

Complete angle

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∠AOC + ∠COB + ∠BOD + ∠DOA = 360° 

Complete angle

∠ AOC + x + x +∠ DOA = 360° 

90 + 2x = 360° 

[∠ AOC +∠DOA = 90° ] 

2x = 360 – 90 

2x = 270 

x = \(\frac{270}{2}\)

x = 135°

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