Question

Help please...... 28, 29, 30 please show work

Answer 1

(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