Pairs of anglles & transversal

Pairs of anglles & transversal

• 2.
  L N O • • S T • M • m OST=71° m LMN=19° M OST + M LMN=90°
• 3.
  If the sumof the two angles is 90°, the two angles are called complementary angles
• 4.
  ° J KI X Y Z m JKI=118° m XYZ=62° m JKI + m XYZ=180°
• 5.
  If the sumof the measures of two angles is 180° ,they are called supplementary angles.
• 6.
  L M N • O• • Side MO is common to the two angles LMO & OMN The interiors of the angles LMO & OMN are different.
• 7.
  Two angles whichhave a common arm but whose interiors are distinct are Called adjacent angles.
• 8.
  • y •• x o z XOY and YOZ are adjacent angles They have a common arm OY The other two arms i.e Arm OX ofXOY and the arm OZ of YOZ are opposite rays
• 9.
  A pair ofadjacent angles whose outer arms are opposite rays are said to be a linear pair of angles.
• 10.
  L O R M N • • • • LRO and MRN are a pair of vertically opposite or vertical angles. LRM and ORN are also a pair of vertical Angles.
• 11.
  The measures ofangles in a pair of Vertically opposite angles are always equal.
• 12.
  P R SB J M G A • • • • • • Line RB and line JG are two parallel lines line PA is their transversal PSB and SMG are a pair of corresponding angles on the same side of the transversal and their measure are SAME /EQUAL.
• 13.
  The measures ofangles in each pair of Corresponding angles formed by a transversal of parallel lines are equal.
• 14.
  U • RS H D B C A • • • • • Line RH ǁ line DC Line UA is their transversal RSB and SBC form a pair of alternate angles , and the measures of RSB and SBC are equal.
• 15.
  The measures ofangles in each pair of alternate angles formed by a transversal of parallel lines are equal.
• 16.
  D A VK P S L M • • • • • • Line AK ǁ line PM Line DL is their transversal KVS and VSM is pair of interior angles on the same side of the transversal. The sum of the measures of the angles KVS and VSM is 180°.
• 17.
  The sum ofthe measures of the interior angles formed by a transversal of parallel lines is 180°.