Question 668610
Let x be the acute. Let y be the obtuse.

2(90-x) = y + 10
2(180-y) = (90-x) + 15

180 - 2x = y + 10 -->  170 - 2x = y
360 - 2y = x + 15

360 -2(170-2x) = (90-x)+15

360 - 340 +4x = 105-x
-85 = -5x

x = 17 degrees

170 - 2(17) = y

170 - 34 = 136 degrees

17 degrees - acute
136 degrees - obtuse