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PolarNik [594]
3 years ago
11

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

Mathematics
1 answer:
Ganezh [65]3 years ago
4 0

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°

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