Answer:
5) 3x = 135° and x = 45°
6) (8x + 5) = 61° and (3x + 8) = 29°
Explanation:
5) supplementary of two angles whose sum is 180°
3x + x = 180 → 4x = 180
4x / 4 = 180 / 4
x = 45
3x = 3(45)
135°
6) complimentary of two angles whose sum is 90°
(8x + 5) + (3x + 8) = 90 → 11x + 13 = 90
11x + 13 - 13 = 90 - 13
11x = 77
11x / 11 = 77 / 11
x = 7
(8x + 5) = 8(7) + 5
56 + 5 = 61
(3x + 8) = 3(7) + 8
21 + 8 = 29