Question

The ratio of the angle measures in a quadrilateral is : : : . What is the measure of each angle?

** Must show ALL work and steps for credit!

Answer 1

60° : 75° : 120° : 105°

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°