Triangle angles

The angles α, β, γ in triangle ABC are in the ratio 6:2:6. Calculate size of angles.

Correct result:

α =  77.1 °
β =  25.7 °
γ =  77.1 °

Solution:

$\alpha =180^{\circ }\cdot {\displaystyle \frac{6}{6+2+6}}=77.1^{\circ }$

$\beta =180^{\circ }\cdot {\displaystyle \frac{2}{6+2+6}}=25.7^{\circ }$

$\gamma =180^{\circ }\cdot {\displaystyle \frac{6}{6+2+6}}=77.1^{\circ }$

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