8.1 Complementary Right angles. Definitions  Right Angle: an angle with a measure equal to 90°  Perpendicular: the sides of a right angle form this.

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Presentation transcript:

8.1 Complementary Right angles

Definitions  Right Angle: an angle with a measure equal to 90°  Perpendicular: the sides of a right angle form this  Outer Rays: exterior rays of an adjacent right angle  Complementary right angle: 2 angles are complements if the sum of their measures are 90

If BA  BC 1 and 2 are complements M1 + M2=90 A B C 1 2

Example #1 M 1= 2x +10 M 2 = 3x +20 2x x +20=90 5x +30 = 90 -30=-30 5x = 60 5 = 5 X= 12 2(12)+10=34  3(12)+20=56 

Example # 2 M1=45 M2=55 Is 1 complementary to 2 NO, because their sum doesn’t equal 90

Example # 3 M1 = 2/3 of M2 2:3 2x + 3x = 90 5x=90 5=5 X=18 M1 = 2(18)=36 M2=3(18)=54