Interior angles

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

Correct answer:

A =  40 °
B =  60 °
C =  80 °

Step-by-step explanation:

A+B+C = 180°  A:B:C = 2: 3: 4 A = 2d B = 3d C = 4d  2d+3d+4d = 180°  d=2+3+4180​=20 ∘  A=2⋅ d=2⋅ 20=40∘
B=3⋅ d=3⋅ 20=60∘
C=4⋅ d=4⋅ 20=80=80∘   Verifying Solution:  s=A+B+C=40+60+80=180 ∘

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