Answer: the angle is 35 degrees
The supplementary angle is 145 degrees
Step-by-step explanation:
Supplementary angles are angles whose sum is 180 degrees. This means that if angle x and angle y are supplementary, then the sum of angle x + angle y is 180 degrees.
The given angle measures 110° less than the measure of its supplementary angle.
Let the angle be x degrees and the supplementary angle be y degrees. This means that.
x = y - 110
Recall, sum of supplementary angles is 180 degrees. Therefore,
x + y = 180 - - - - - - - - 1
Substituting x = y - 110 into equation 1, it becomes
y - 110 + y = 180
2y -110 = 180
2y = 180 + 110 = 290
y = 290/2 = 145 degrees
x = y - 110 = 145 - 110
x = 35 degrees