Type of triangle

How do I find the triangle type if the angle ratio is 2:3:7 ?

Result

A =  30 °
B =  45 °
C =  105 °

Solution:

k=180/(2+3+7)=15 A=2⋅ k=2⋅ 15=30=30∘k = 180 / (2+3+7) = 15 \ \\ A = 2 \cdot \ k = 2 \cdot \ 15 = 30 = 30 ^\circ
B=3⋅ k=3⋅ 15=45=45∘B = 3 \cdot \ k = 3 \cdot \ 15 = 45 = 45 ^\circ
C=7⋅ k=7⋅ 15=105=105∘C = 7 \cdot \ k = 7 \cdot \ 15 = 105 = 105 ^\circ

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Obtuse-angled scalene triangle.

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