Question

The supplement and twice the complement of an angle differ by 35 degrees. Find the angle. (Show all work)

Answer 1

35 degrees

Explanation:

(180-x)= supplement

(90-x)=complement

(180-x)-2(90-x)=35

180-x-180+2x=35

x=35

Answer 2

The angle is 35 degrees

(180 - x) = 2(90 - x) + 35
180 - x = 180 - 2x + 35
180 - x = 215 - 2x
180 + x = 215
x = 35

Check:
180 - 35 = 145 supplement
90 - 35 = 55 complement
55*2 = 110 twice the complement
110 + 35 = 145 :)