If abc is congruent to dbc the bc bisects the angle acd

True.

If Δ ABC ≅ Δ DBC  then BC bisects the angle ∠ ACD.

Step-by-step explanation:

Δ ABC ≅ Δ DBC

∠ ACB ≅ ∠ DCB  {corresponding angles of congruent triangles}or(c.p.c.t)

i.e BC is the bisector of ∠ ACD

Hence, TRUE

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

if i put something wrong your not gonna like it so rather not say nothing.