# Angles in triangle

The triangle is ratio of the angles β:γ = 6:8. Angle α is 40° greater than β. What are the size of angles of the triangle?

Correct result:

β =  82 °
γ =  42 °
α =  56 °

#### Solution:

$\beta =\frac{6\cdot \frac{180-40}{\frac{2\cdot 6}{8}+1}}{8}=4{2}^{\circ }$
$\gamma =\frac{180-40}{\frac{2\cdot 6}{8}+1}=5{6}^{\circ }$

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