Respuesta :
if the angle is s its complement is 90 - x and its supplement is 180-x
so we have:-
180 - x = 3(90-x)
180 - x = 270 - 3x
3x - x = 270-180
2x = 90
x = 45
45 degrees
so we have:-
180 - x = 3(90-x)
180 - x = 270 - 3x
3x - x = 270-180
2x = 90
x = 45
45 degrees
Answer:
Measure of the angle is 45°.
Step-by-step explanation:
Let the measurement of an angle = x
Supplement of the angle x will be = (180° - x)
Complement of the angle x = (90° - x)
Now as per statement given in the question we form the equation.
"Supplement of the angle is three times its complement"
180 - x = 3(90 - x)
180 - x = 270 - 3x
3x - x = 270 - 180 = 90
2x = 90
x = 45°
Therefore measure of the angle will be 45°.
