Solving Unknown Angles in Intersecting Lines

Solving Unknown Angles in Intersecting Lines

Secondary 1

The diagram shows two straight lines, \(AB\) and \(CD\), intersecting at \(O\).

\(\angle DOB=39{}^\circ \) and \(\angle COE=81{}^\circ \).

Find

  1. \(\angle AOC\),
  2. the value of \(x\),

stating your reason clearly.

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Answer:(a)\(\angle AOC=39{}^\circ \) (vertically opposite angles) (b) \(x=20\)

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