Very simple, let's mount a linear system: x=measure of the angle; y=supplement; z=complement: I:x+y= 180; II:x+z= 90; III: y+z= 150; Summing I with II we have: I+II: 2x+y+z= 270; III: y+z=150 Now, subtracting III from I+II we have a simple equation: 2x=120; >x= 60< So, the angle whose sum of the measures of its complements and supplement is 150, has 60 degrees.
An angle of 108 degrees does not have a complement because is greater than 90 degrees. Its supplement angle has a measure of 180 - 108 = 72 degrees.
Angle=54oComplement: 90-54=36oSupplement: 180-54=126o
Complement . . . another angle, of 53 degrees Supplement . . . another angle, of 143 degrees
26 degrees
60 degrees
33
An angle of 108 degrees does not have a complement because is greater than 90 degrees. Its supplement angle has a measure of 180 - 108 = 72 degrees.
Angle=54oComplement: 90-54=36oSupplement: 180-54=126o
Complement . . . another angle, of 53 degrees Supplement . . . another angle, of 143 degrees
(180°-x) + (90°-x) = 240°270° - 2x = 240°30° = 2x15° = xThe measure of the angle is 15°.The supplement is 165°, the complement is 75°, and their sum is 240°.
19 degrees and 109 degrees respectively
26 degrees
60 degrees
74 degrees
The difference between 90 degrees and an angle is its complement. 90 - 62 = 28 degrees.
The measure of an angle whose complement is four ninths its supplement?æ is 18 degrees. It is calculated as follows: let y be the angle, its complement will be (90-y) degrees and its supplement will be (180-y)?æ degrees and?æ since it complement is?æ 4/9 its supplement; then?æ it is?æ?æ(90-y)= 4/9(180-y).?æ Hence, you will get 18 degrees when you solve the equation.
An angle and its complement sum to ninety degrees. 90-52=38