let x = measure of the mystery angle and y = measure of its supplement
By definition of supplement, x+y = 180 since any angle and its supplement sum to a straight angle
The problem gives us that 3x = y
Substituting in 3x for y in the supplement equation gives us
x + 3x = 180
4x = 180
x = 180/4
x = 45
Check our answer: The supplement of 45 degrees is 180 - 45 = 135. 45*3 = 135. Therefore, the answer is 45 degrees.
The angle= 36, the supplement= 144, the compliment=54
x is the angle you're looking for and 3x is the angle that when added to x must total 180 degrees. Therefore the angle is 45degrees (x + 3x = 180)
180-20=160
40-degrees 140-degrees
The angles are: 150+30 = 180 degrees
The angle= 36, the supplement= 144, the compliment=54
explement of the angle or conjugate of an angle
25
150o
The supplement of an angle x is equal to 180 - x. The measure of an angle that is nine times its supplement can be written as: x = 9(180 - x) You can then solve for the measure of the angle x: x = 1620 - 9x 10x = 1620 x = 162 Therefore, that angle which is nine times its supplement is itself 162 degrees.
x is the angle you're looking for and 3x is the angle that when added to x must total 180 degrees. Therefore the angle is 45degrees (x + 3x = 180)
The angle is 160 degrees and it's supplement is 20 degrees.
180-20=160
The angles are: 65 degrees and 115 degrees = 180 degrees
40-degrees 140-degrees
Nine degrees. Its supplement 171 degrees is ninteen times 9 degrees.
The angles are 157.5 degrees and 22.5 degrees