Calculate measurement of 3 angles in a triangle

[vu12]

In a triangle, the second angle is twice the first angle and the third angle is 20 degrees less than the first angle. Find the measure of all three angles.

 

[BigGlenntheHeavy]

\(\displaystyle Let \ first \ angle \ = \ x, \ then:\)

\(\displaystyle 1st \ \ 2nd \ \ \ \ \ 3rd\)
\(\displaystyle x \ + \ 2x \ + \ x-20 \ = \ 180, \ 4x \ = \ 200, \ \implies \ x \ = \ 50\)

\(\displaystyle I'll \ let \ you \ do \ the \ check.\)