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Most accurate poor man's technique might be taut string from axle to axle, drop plumb line from the top of the tube, measure length from top of tube to axle-to-axle line (hypotenuse), measure horizontal length to plumb line along axle-to-axle line or from top of tube to axle-to-axle line (opposite/adjacent) and work it out with trigonometry. Just need some string and a tape measure.
arcsin(B/A) probably gives you the most accurate result
Head tube is trickier as you have to project a straight line down to the axle-to-axle line (i.e. discount fork offset)
This would work right?
GT update
Angles are 73/73 and it should fit 40c tyres just fine.