Solve. Please show all of your work. The supplement of an angle 40° measures more than twice its complement. Find the measure of the angle.
180-40
140 degrees is the supplement.
90-40
50 degrees is the complement.
there is not a lot of work.
An angle + its supplement = 180°
An angle + its complement = 90°
Q. The supplement of 40° is ===> 180° - 40° = 140°
Q. The complement of 40° is ===> 90° - 40° = 50°
Q. Twice of the complent of 40° ==> 50° * 2 = 100°
Q. The supplement of 40° is more than twice its complement
=> 140° > 100°
=> ( 180° - 40° ) > ( 50° ) * 2
=> ( 180° - 40° ) > ( 90° - 40° ) * 2
The supplement of 40 degrees is 140 degrees (180 Degrees - 40 degrees). The complement of 40 degrees is 50 degrees (90 Degrees - 40 Degrees). So..
50 degrees (times) 2 < 140 degrees
100 degrees < 140 degrees
complement is 2 angles that add to 90 degrees supplement is 2 angles that add up to 180 degrees
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Verified answer
180-40
140 degrees is the supplement.
90-40
50 degrees is the complement.
there is not a lot of work.
An angle + its supplement = 180°
An angle + its complement = 90°
Q. The supplement of 40° is ===> 180° - 40° = 140°
Q. The complement of 40° is ===> 90° - 40° = 50°
Q. Twice of the complent of 40° ==> 50° * 2 = 100°
Q. The supplement of 40° is more than twice its complement
=> 140° > 100°
=> ( 180° - 40° ) > ( 50° ) * 2
=> ( 180° - 40° ) > ( 90° - 40° ) * 2
The supplement of 40 degrees is 140 degrees (180 Degrees - 40 degrees). The complement of 40 degrees is 50 degrees (90 Degrees - 40 Degrees). So..
50 degrees (times) 2 < 140 degrees
100 degrees < 140 degrees
complement is 2 angles that add to 90 degrees supplement is 2 angles that add up to 180 degrees