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Question
In the below fig, lines �1 and �2 intersect at O, forming angles as shown in the figure. If x = 45, Find the values of x, y, z and u.
Solution
Given that
x = 45°, y = ?, z = ?, u = ?
Vertically opposite sides are equal
∴z = x = 45°
z and u angles are linear pair of angles
∴z + u = 180°
z = 180° - 4
⇒ u = 180° - x
⇒u = 180° - 45° [∵ x = 45°]
⇒ u = 135°
x and y angles are linear pair of angles
∴x + y = 180°
y = 180° - x
y = 180° - 45°
y = 135°
∴x = 45°, y = 135°, z = 135° and u = 45°
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