Interior angles

Calculate the interior angles of a triangle that are in the ratio 2: 3: 4.

Correct result:

A =  40 °
B =  60 °
C =  80 °

Solution:

A+B+C=180∘  d=1802+3+4=20 ∘  A=2⋅ d=2⋅ 20=40∘A+B+C=180^\circ \ \\ \ \\ d=\dfrac{ 180 }{ 2+3+4 }=20 \ ^\circ \ \\ \ \\ A=2 \cdot \ d=2 \cdot \ 20=40 ^\circ
B=3⋅ d=3⋅ 20=60∘B=3 \cdot \ d=3 \cdot \ 20=60 ^\circ
C=4⋅ d=4⋅ 20=80∘C=4 \cdot \ d=4 \cdot \ 20=80 ^\circ

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