What are the measures of a triangle whose angles are 2x, 3x, and 4x? Provide your answer in descending order.
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The sum of interior angles of a triangle is 1 8 0 . So we add the three angles,
2 x + 3 x + 4 x = 1 8 0
9 x = 1 8 0
x = 2 0
Now compute for the three angles. They are 2 x = 2 ( 2 0 ) = 4 0 ∘ , 3 x = 3 ( 2 0 ) = 6 0 ∘ and 4 x = 4 ( 2 0 ) = 8 0 ∘ . Then arrange in descending order (from highest to lowest). So our answer must be 8 0 , 6 0 , 4 0 .