Lines and angles.

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Presentation transcript:

lines and angles

Given: ACB = 20° DEF = 130° Find: CDE = __________ D F A E C B

vertical (opposite) angles have the same measure Given: ACB = 20° DEF = 130° Find: CDE = __________ D F A 20° E 20° C B vertical (opposite) angles have the same measure

Given: ACB = 20° DEF = 130° Find: CDE = __________ D F A E C B 130°

supplementary angles have measures whose sum is 180° Given: ACB = 20° DEF = 130° Find: CDE = __________ D F 130° A 20° 50° E C B supplementary angles have measures whose sum is 180°

the sum of the measures of the angles of a triangle is 180° Given: ACB = 20° DEF = 130° Find: CDE = _110°______ D F A 20° 50° E C B the sum of the measures of the angles of a triangle is 180°

A C B D F E G I H

 A C B D F E G I H

 A C B 150° D F 150° E G 150° I H

A C 140°  B 150° D F 150° E G 150° I H

A C 140° 110° 40° B 30° 110 150° D F E G I H