Answer:
see explanation
Step-by-step explanation:
(15)
Since BE bisects ∠ ABD then ∠ DBE = ∠ ABE, thus
8x - 14 = 6x + 2 ( subtract 6x from both sides )
2x - 14 = 2 ( add 14 to both sides )
2x = 16 ( divide both sides by 2 )
x = 8
Thus ∠ ABE = 6x + 2 = 6(8) + 2 = 48 + 2 = 50°
(16)
Since BE bisects ∠ ABD then ∠ ABE = ∠ DBE = 12n - 8 and
∠ ABD = ∠ ABE + ∠ DBE, that is
22n - 11 = 12n - 8 + 12n - 8 = 24n - 16 ( subtract 24n from both sides )
- 2n - 11 = - 16 ( add 11 to both sides )
- 2n = - 5 ( divide both sides by - 2 )
n = 2.5
Thus
∠ EBD = 12n - 8 = 12(2.5) - 8 = 30 - 8 = 22°
