Answer:
x = 4 , ∠ AXC = 150°
Explanation:
∠ 1 and ∠ 2 form the angle AXC , that is
∠ AXC = ∠ 1 + ∠ 2 , then
6(6x + 1) = 102 + 10x + 8
36x + 6 = 10x + 110 ( subtract 10x from both sides )
26x + 6 = 110 ( subtract 6 from both sides )
26x = 104 ( divide both sides by 26 )
x = 4
Then by substituting x = 4
∠ AXC = 6(6x + 1) = 36x + 6 = 36(4) + 6 = 144 + 6 = 150°