Two straight lines AB and CD cross at point O. Angle AOC = $(3 x - 5)$ deg and angle BOD = $(2 x + 20)$ deg are vertically opposite.
Find angle AOC.

Question

Two straight lines AB and CD cross at point O. Angle AOC = (3x - 5) deg and angle BOD = (2x + 20) deg are vertically opposite. Find angle AOC.

Accepted Answer

70. Vertically opposite angles are equal: 3x - 5 = 2x + 20, so x = 25. Angle AOC = 3(25) - 5 = 70°.

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