Step-by-step explanation:
- Let the supplement of the angle = 180 - x
- Let the complement of the angle = 90 - x
Now, According to our assumption we can set up an equation :
➵ (180 - x) - 3(90 - x) = 10
➵ 180 - x - 270 + 3x = 10
➵ 2x - 270 = 10 - 180
➵ 2x - 270 = -170
➵ 2x = -170 + 270
➵ 2x = 100
➵ x = 100/2
➵ x = 50
Therefore,
- The supplement of the angle = 180-x = 180 - 50 = 130°
- The complement of the angle = 90 - x = 90 - 50 = 40°
