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Two lines intersect at O forming angles 1, 2, 3, 4 in order around the point. If angle 1 + angle 3 = 100°, and angle 1 and angle 3 are vertically opposite, find angle 2.

Class 9Linear Pair and Vertically Opposite AnglesGeometry — Lines and Angles
  • A130
  • B145
  • C115
  • D260

Step-by-Step Solution

Angle 1 = angle 3 (vertically opposite), so each = 50°. Angle 2 is a linear pair with angle 1: angle 2 = 180 - 50 = 130°.
Answer: A) 130

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