Question 167076
Let the angle whose supplement you are trying to find = A
The supplement of angle A is (180-A) and 58 degrees more than that is:
(180-A)+58.
Now you have enough to write an equation that will let you find the angle A.
A = (180-A)+58 Simplify this to:
A = 180+58-A Add A to both sides.
2A = 238 Divide both sides by 2.
A = 119 degrees. But you are asked to find the supplement of A.
180-A = 180-119 = 61 degrees.
Check:
A = (180-A)+58 Substitute A = 119.
119 = (180-119)+58
119 = 61+58
119 = 119 It checks!