Find measure x in Fig 3.9.
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Solution :
i ) y + 100° = 180° [ Linear pair ]
=> y = 180 - 100
=> y = 80°
ii ) z + 140° = 180° [ Linear pair ]
=> z = 180° - 140°
=> z = 40°
iii ) In ∆ENM ,
x + y + z = 180°
[ Angle sum property ]
=> x + 80° + 40° = 180°
=> x + 120° = 180°
=> x = 180° - 120°
=> x = 60°
Therefore ,
x = 60° , y = 80° , z = 40°
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