Answer: 84° & 66°
Step-by-step explanation:
find our variables...
difference in two unknown angles is 18 so...
Let's use a, b, & c to set up
a=30 b=b c=b-18
150=b+c
150=b+(b-18)
150=2b-18
168=2b
84=b
Use our known b to find c...
c=b-18
c=84-18
c=66
Adding all three up to make sure they give us 180 degrees is a good way to check our work.
a+b+c=
30+84+66=180