Answer
Angle ABD = 67°
Angle CBD = 67°
Angle ABC = 134°
Step-by-step explanation
BD bisecting Angle ABC means that BD divides that angle into two equal parts.
Hence, we can conclude that
Angle CBD = Angle ABD
Angle CBD = (11x + 23)°
Angle ABD = (8x + 35)°
Angle CBD = Angle ABD
11x + 23° = 8x + 35°
11x - 8x = 35° - 23°
3x = 12°
Divide both sides by 3
(3x/3) = (12°/3)
x = 4°
We can then solve for the unknowns now
Angle ABD = (8x + 35)°
= 8(4°) + 35°
= 32° + 35°
= 67°
Angle CBD = (11x + 23)°
= 11(4°) + 23°
= 44° + 23°
= 67°
Angle ABC = Angle ABD + Angle CBD
= 67° + 67°
= 134°
Hope this Helps!!!