Two lines cross at O. The four angles taken in order are $(x), (2 x), (x), (2 x)$ degrees.
Find the value of the larger pair of equal angles.

Question

Two lines cross at O. The four angles taken in order are (x), (2x), (x), (2x) degrees. Find the value of the larger pair of equal angles.

Accepted Answer

120. Adjacent angles form a linear pair: x + 2x = 180, so 3x = 180, x = 60. The larger equal angles are 2x = 120° each.

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