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A, B and C lie on a straight line. Given that angle y = 110° and angle z = 99°, work out x.

A, B and C lie on a straight line. Given that angle y = 110° and angle z = 99°, work out x.
asked 201k views
2 votes
A, B and C lie on a straight line.
Given that angle y = 110° and angle z = 99°, work out x.

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User Dia
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8.0k points

1 Answer

5 votes

Answer:


since \: the \: sum \: of \: these \: angles \: is \: greater \: than \: 180° \\ they \: must \: be \: angles \: at\: a \: point \: in \: the \: circle \\ 110° + 99° + x = 360° \\ x = 360° - (110° + 99°) \\ x = 151°

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User Tom J Nowell
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8.5k points
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