In triangle $ABC$, the angles $\angle A$, $\angle B$, $\angle C$ form an arithmetic sequence. If $\angle A = 45^\circ$, then what is $\angle C$, in degrees?
We can write this as an equation, getting:
45∘+45∘+x+45∘+2x=180∘
135∘+3x=180∘
3x=45∘
x=15∘
We can now add 2x to 45∘ and get:
30∘+45∘
75∘
We get that angle C=75∘
Answer: 75°