Answer:
60° : 75° : 120° : 105°
Step-by-step explanation:
I like to work these by considering the relationship between a "ratio unit" and the angle it represents. Here, the sum of ratio units is 4+5+8+7 = 24. The sum of angles in a quadrilateral is 360°, so each ratio unit must stand for ...
360°/24 = 15°
Multiplying the ratio units by this value, we find the angles to be ...
(4 : 5 : 8 : 7) × 15° = 60° : 75° : 120° : 105°
