(28)
∠WAE = ∠WAM + ∠MAE
Since M bisects ∠WAE then ∠WAM = ∠MAE, hence
8x = 5x + 15 ( subtract 5x from both sides )
3x = 15 ( divide both sides by 3 )
x = 5
∠WAM = 8 × 3 = 24°
∠MAE = (5 × 3 ) + 15 = 30°
(29)
∠ABC = 90°, hence
∠ABD + ∠DBC = 90, that is
6x + 5 + 5x - 3 = 90
11x + 2 = 90 ( subtract 2 from both sides )
11x = 88 ( divide both sides by 11 )
x = 8
∠ABD = (6 × 8 ) + 5 = 53°
∠DBC = (5 × 8 ) - 3 = 37°
(30)
EH = EF + FG + GH = 28, hence
2x - 1 + x + 5 + x = 28
4x + 4 = 28 ( subtract 4 from both sides )
4x = 24 ( divide both sides by 4 )
x = 6
EF = (2 × 6 ) - 1 = 11
FG = 6 + 5 = 11
