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alternate angles

plural noun

, Geometry.
  1. two nonadjacent angles made by the crossing of two lines by a third line, both angles being either interior or exterior, and being on opposite sides of the third line.


alternate angles

plural noun

  1. two angles at opposite ends and on opposite sides of a transversal cutting two lines
“Collins English Dictionary — Complete & Unabridged” 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012


alternate angles

  1. Two angles formed on opposite sides of a line that crosses two other lines. The angles are both exterior or both interior, but not adjacent.


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Word History and Origins

Origin of alternate angles1

First recorded in 1650–60
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Example Sentences

Frustules oblong or quadrate, adnate in filaments, attached by alternate angles and finally separating.

We may now state Prop. 16 thus:—If two straight lines which meet are cut by a transversal, their alternate angles are unequal.

And “if the lines are parallel, are alternate angles necessarily equal?”

That is to say, “If alternate angles are unequal, do the lines meet?”

If two straights make with a transversal equal alternate angles they have a common perpendicular.

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