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Two lines AB and CD intersect at O. Angle AOC = 4 times angle AOD, and AOC and AOD form a linear pair.
Find angle AOC.

Class 7Pairs of AnglesLines and Angles
  • A159
  • B144
  • C288
  • D129

Step-by-Step Solution

AOC + AOD = 180 (linear pair) and AOC = 4 * AOD. So 4*AOD + AOD = 180, 5*AOD = 180, AOD = 36. AOC = 4*36 = 144°.
Answer: B) 144

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