# A Strange Star in a Strange Shape

**Geometry**Level 3

Now, a \(7\) - pointed star in inscribed in this strange shape, symmetric about line \(AE\), such that \(BH\) is parallel to major axis, \(\angle H = 90^{\circ}\), and line \(GC\) bisects angles \(\angle C\) and \(\angle G\).

Calculate \(\angle A + \angle B + \angle C + \angle D + \angle F + \angle G + \angle H\).

Give your answer in degrees.

This problem is a part of the set - A Strange Shape