Respuesta :

Answer:

∠ABC = 54°

Step-by-step explanation:

an inscribed angle is 1/2 the size of an incenter angle.

so:

∠AMC = 2(∠ABC)

10x - 12 = 2(4x + 6)

10x - 12 = 8x + 12

simplify:

2x = 24

x = 12

∠ABC = 4(12) + 6 = 54°