Geometry 6 Angle Task. Please Help

[IAmDavita]

Hello
I want help to find α
The pointed (specified) angles are equal

Please help. Thanks

 

[BigBeachBanana]

What's the sum of the interior of a heptagon (7-sided polygon)?
What's the sum of the interior angles of a hexagon (6-sided polygon)?

Set up a system of 3 equations solve for the missing angles.