9514 1404 393
Answer:
70° and 110°
Step-by-step explanation:
The sum of angles is 180°; their difference is 40°. So, the larger is ...
(180° +40°)/2 = 110°
The smaller is 180° -110° = 70°
The two angles are 70° and 110°.
_____
Above, we have "cut to the chase." If you let the larger be 'a' and 's' and 'd' represent the sum and difference, you have ...
a + (a-d) = s . . . . the sum of the larger and smaller angles
2a = s+d . . . . . . add d
a = (s+d)/2 . . . . the relation we used.
