rain gutters

[Account Closed]

I'm having rain gutters installed. I have 2 angles within about 5' of each other, neither of which is 90 OR 45. Looks sort of like this:
__ This horizontal section is over my entry door.
/ | These 3 verticals are the east wall of the garage.
| | The angled section in upper left is a bedroom closet wall
| The vertical below the angle is the rest of the BR wall

Question: Since those angles are not 90s or 45s, are there standard sections to put in there? Apparently, they are about 60s. If not standard, how do we get the water into the gutter, rather than pouring through the hole, since gutter can't overlap?
Thanks.
Ofgift