Answer:
∠ ABD = 49°, ∠ CBD = 28°
Step-by-step explanation:
∠ ABD + ∠ CBD = ∠ ABC , substitute values
3x + 22 + 5x - 17 = 77 , that is
8x + 5 = 77 ( subtract 5 from both sides )
8x = 72 ( divide both sides by 8 )
x = 9
Thus
∠ ABD = 3x + 22 = 3(9) + 22 = 27 + 22 = 49°
∠ CBD = 5x - 17 = 5(9) - 17 = 45 - 17 = 28°
