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Question
Two opposite angles of a parallelogram are (2x + 60)° and (4x)°. Find the value of x.
Solution
Opposite angles of a parallelogram are (2x + 60)° and (4x).
We already know that the opposite angles of a parallelogram are equal.
∴ 2x + 60° = 4x
⇒ 4x – 2x = 60°
⇒ 2x = 60°
⇒ x = 30°
Hence, the value of x is 30°.
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