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Two lines intersect at a point. If one pair of vertically opposite angles are (3x - 10)° and (2x + 15)°, find the value of x.

  • A.5
  • B.15
  • C.25
  • D.35

Answer: C

Vertically opposite angles are equal.

\[ 3x - 10 = 2x + 15 \quad\Longrightarrow\quad x = 25 \]

Both angles then measure 65°, as they must.

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