Inscribed triangle

To a circle is inscribed triangle so that the it's vertexes divide circle into 3 arcs. The length of the arcs are in the ratio 2:3:7. Determine the interior angles of a triangle.

Correct result:

α =  30 °
β =  45 °
γ =  105 °

Solution:

$\beta =3a=4{5}^{\circ }=4{5}^{\circ }$
$\gamma =7a=10{5}^{\circ }=10{5}^{\circ }$

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