Answer:
x = 35, ∠ BDE = 130°
Step-by-step explanation:
(4x - 10) and (x + 95) are corresponding angles and are congruent, then
4x - 10 = x + 95 ( subtract x from both sides )
3x - 10 = 95 ( add 10 to both sides )
3x = 105 ( divide both sides by 3 )
x = 35
Thus
∠ BDE = 4x - 10 = 4(35) - 10 = 140 - 10 = 130°
