The angles are 157.5 degrees and 22.5 degrees
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118 degrees is your answer... I am the type of person that just answers it without an explanation.
The supplement of an angle is (180) minus (the angle).Here we have an angle 'A', and we are told that: 2( 180 - A ) = 30 + 5( 180 - A ). We calculate:360 - 2A = 30 + 900 - 5A = 930 - 5A (clear parentheses)3A = 570 (Add 5A - 360 to both sides)A = 190 (Divide both sides by 3)Check:Its supplement is (180 - 190) = -102(-10) (?=?) 30 + 5(-10)-20 (?=?) 30 - 50-20 = -20 Yes !
Suppose the supplement of the angle is x degrees. Then the angle is 180 - x degrees. Therefore the complement of the angle is 90 - (180 - x) degrees = x - 90 degrees. So 5*(x - 90) - 2*x = 40 Solve the above equation for x.
180 - x = 3(90 -x) 180 - x = 270 - 3x 3x - x = 270 - 180 2x = 90 x = 45 The angle is 45 degrees (complement is 45, supplement is 135).
15 degrees