Question 1183424
Let x◦ be the measurement of an angle.
The ratio of the measurement of the complement of the angle to the measurement of the supplement of the angle is 1:3.
{{{((90-x))/((180-x)) = 1/3}}}
cross multiplyL
3(90-x) = 180 - x
270 - 3x = 180 - x
270 - 180 = -x + 3x
90 = 2x
x = 45
:
The measurement of the complement of the angle and the measurement of the
supplement of the angle have a sum of 180◦ . Find x.
:
(90-x) + (180-x) = 180
90 - x + 180 - x - 180 = 0
90 = 2x
x = 45