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Angles on a straight line add up to 180
∠AOB + ∠BOC + ∠COD = 180
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∠AOB + ∠BOC + ∠COD = 180
1/2 x + 5( x/2 - 1) + x + 9 = 180
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Find x :
1/2 x + 5( x/2 - 1) + x + 9 = 180
1/2 x + 2 1/2 x - 5 + x + 9 = 180
4x + 4 = 180
4x = 176
x = 44°
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Angles on a straight line add up to 180
∠AOB + ∠BOC + ∠AOE = 180
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Find ∠AOE :
1/2 (44) + 5( 44/2 - 1) + ∠AOE = 180
22 + 105 + ∠AOE = 180
∠AOE = 180 - 127
∠AOE = 53°
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Sum of angles in a triangle is 180°
a + b + 53 = 180
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Find a + b:
a + b + 53 = 180
a + b = 180 - 53
a + b = 127°
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Answer: a + b = 127°
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