# 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:

$\alpha =18{0}^{\circ }\cdot \frac{6}{6+2+6}=77.{1}^{\circ }$
$\beta =18{0}^{\circ }\cdot \frac{2}{6+2+6}=25.{7}^{\circ }$
$\gamma =18{0}^{\circ }\cdot \frac{6}{6+2+6}=77.{1}^{\circ }$

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