In Fig 8.56, lines l1 and l2 intersect at O, forming angles as shown in the figure. If x = 45, find the values of y, z and u.
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Given : lines l1 and l2 intersect at O, forming angles and x = 45°.
z = x = 45° (Vertically opposite angle)
z and u angles form a linear pair, therefore,
z + u = 180°
45° + u = 180°
u = 180° – 45°
u = 135°
x and y angles form a linear pair, therefore,
x + y = 180°
y = 180° – x
y =180° - 45°
y = 135°
Hence, the values of y = 135° , z = 45° and u = 135°.
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