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Course: Mathematics — First Preparatory
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Mathematics — First Preparatory

Text lesson

Types of Angles and Their Relations

Mathematics — First Preparatory

Types of Angles and Their Relations

Relations between angles

Relations between angles

Comparison aspectMain ideaKeywords
Complementary anglestwo angles whose sum is 90°. Each one is the complement of the otherwhose
Supplementary anglestwo angles whose sum is 180°. Each one is the supplement of the otherwhose
Adjacent angles
  • two angles with a common vertex and a common arm
  • which do not overlap
commonvertexoverlap
Vertically opposite anglestwo angles whose arms are extensions of each other. They are equal in measurewhosearmsextensionsequal
•
  • Angles on a straight line add up to 180°
  • and angles around a point add up to 360°
Anglesstraightlinearound

Parallel lines and a transversal

  1. If a transversal cuts two parallel lines
  2. then:
  • Alternate angles are equal in measure.
  • Corresponding angles are equal in measure.
  • Co-interior angles (on the same side) are supplementary, which means they add up to 180°.
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