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Question
Consider the given parallelograms. Find the values of the unknowns x, y, z.
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Solution
Since x + 80° = 180° ...[Sum of adjacent angles is 180°]
x = 180° − 80° = 100°
Also 80° = y ...[∵ Opposite angles are equal in a parallelogram]
And x = 180° − z ⇒ 100° = 180° − z
⇒ z = 180° − 100° = 80°
Thus x = 100°, y = 80° and z = 80°
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