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Question
Consider the given parallelograms. Find the values of the unknowns x, y, z.
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Solution
x = 90° (Vertically opposite angles)
x + y + 30° = 180° (Angle sum property of triangles)
90° + 30° + y = 180°
120° + y = 180°
y = 180° − 120° = 60° ...[Since alternate angles are equal in a parallelogram]
y = z = 60°
Thus x = 90°, y = 60° and z = 60°
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