Answer:
The angle ACB is 9 degrees.
Step-by-step explanation:
To solve this problem we just need to observe the point B, which has two angles and both of them are on a straight angle, this means that the sum of angle ABC and CBD is 180, that is
[tex]\angle ABC + \angle CBD = 180\°[/tex]
We know that [tex]\angle =29\°[/tex], then
[tex]\angle ABC+29=180\\\angle ABC=180-29=151[/tex]
Now, in the triangle ABC, we know that all three angles must sum 180
[tex]\angle CAB + \angle ABC + \angle BCA = 180\\20+151+ \angle BCA = 180\\\angle BCA = 180-20-151\\\angle BCA = 9=\angle ACB[/tex]
Therefore, the angle ACB is 9 degrees.