Here's a drawing of the corner fire place I was building. The roof slope angle was 26.56505°, 6:12, with a 135° eave angle for the wall rake plate rotated into the roof surface.

Saw Miter Angle for Common Rafter Pitch Rake Wall = arctan ( tan (Direction Of Saw Travel ) ÷ cos (Roof Slope ))

R2 = Saw Miter Angle for Common Rafter Pitch Rake Wall = arctan ( tan (22.5° ) ÷ cos (26.56505° )) = 24.84908°

R2 = Saw Blade Bevel Angle = arcsin ( sin (26.56505° ) × cos (22.5° )) = 24.40422°

H2 = Saw Miter Angle = 180° - 138.18969 - 24.84908= 16.96123°

H2 = Saw Blade Bevel Angle = arcsin ( sin (26.56505° ) × cos (22.5° )) = 24.40422°

A1 = Saw Miter Angle = arctan ( cos (26.56° ) ÷ tan (67.5° )) = 20.32886°

A1 = Saw Blade Bevel Angle = arcsin ( sin (26.56° ) × cos (22.5° )) = 24.3996°

Saw Miter Angle = 180° - Real Roof Surface Angle - Saw Miter Angle for Common Rafter Pitch Rake Wall

H1 = Saw Miter Angle = 180° - 131.81031 - 20.32886= 27.86083°

H1 = Saw Blade Bevel Angle = arcsin ( sin (26.56° ) × cos (67.5° )) = 9.85418°

Hip Rake Wall Studs Hip Rafter Pitch Angle = arctan( tan( Pitch Angle ) * sin( Plan Angle )) Hip Rafter Backing Angle = arctan( sin( Hip Rafter Pitch Angle) ÷ tan( Plan Angle ) ) Hip Rafter Plumb Backing Angle = arctan( tan( Pitch Angle ) * cos( Plan Angle )) Hip Rake Wall Pitch Angle = arctan( tan( Rafter Pitch Angle ) * sin( Working Angle )) Hip Rake Wall Pitch Angle = arctan( tan( 26.56505.69 ) * sin( 45 )) = 19.47121° Rake Stud Saw Miter Angle = Hip Rafter Plumb Backing Angle = 19.47121° Rake Stud Saw Blade Bevel Angle = arctan(cos(Hip Rafter Plumb Backing Angle)* tan(Hip Rafter Pitch Angle)) Rake Stud Saw Blade Bevel Angle = arctan(cos(19.47121)* tan(19.47121)) = 18.4349°

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