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If two straight lines intersect each other, prove that the ray opposite to the bisector of one of the angles thus formed bisects the vertically opposite angle.

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Let the ray OE bisects `angleAOC` and ray OF be opposite to OE.
Then, EOF is a straight line.
`:. angle1=angle4 and angle2=angle3`. [vert. opp. `angles`]
But, `angle1=angle2implies angle4=angle3`.
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