Answer:
∠BME = 116°
Step-by-step explanation:
Given MD is the angle bisector of ∠BME, then
∠BMD = ∠DME ← substitute in expressions
6x - 8 = 4x + 14 ( subtract 4x from both sides )
2x - 8 = 14 ( add 8 to both sides )
2x = 22 ( divide both sides by 2 )
x = 11
∠BME = ∠BMD + ∠DME = 6x - 8 + 4x + 14 = 10x + 6, hence
∠BME = (10 × 11) + 6 = 110 + 6 = 116°
