Answer:
<AXC = 101 degrees.
Step-by-step explanation:
The question says that XB is a bisector which means that <AXB = 1/2 of AXC
You can't do the question if that assumption isn't true.
<AXC = 8x - 7
<AXB = 3x + 10
3x + 10 = 1/2 ( 8x - 7) Multiply both sides by 2
2(3x + 10) = 8x - 7 Remove the brackets
6x + 20 = 8x - 7 Add 7 to both sides
6x + 20 + 7 = 8x Combine
6x + 27 = 8x Subtract 6x from both sides
27 = 8x - 6x Combine
27 = 2x Switch
2x = 27 Divide by 2
x = 27/2
x = 13.5
AXC = 8x - 7
AXC = 8*13.5 - 7
AXC = 108 -7
AXC = 101
