Answer:
85
Step-by-step explanation:
From the question given above, the following data were obtained:
Ratios of the angle => 2 : 4 : 5 : 6
Difference between the largest angle and the smallest angle =?
Next, we shall determine the various angles in the quadrilateral. This can be obtained as follow:
Ratios of the angle => 2 : 4 : 5 : 6
Total ratio = 2 + 4 + 5 + 6
Total ratio = 17
Angle in a quadrilateral = 360
For ratio 2:
Angle = 2/17 × 360 ≈ 42
For ratio 4:
Angle = 4/17 × 360 ≈ 85
For ratio 5:
Angle = 5/17 × 360 ≈ 106
For ratio 6:
Angle = 6/17 × 360 ≈ 127
SUMMARY:
The angles are => 42°, 85°, 106° and 127°
Finally, we shall determine the difference between largest angle and the smallest angle. This can be obtained as follow:
Smallest angle = 42°
Largest angle = 127°
Difference between the largest angle and the smallest angle =?
Difference = Largest – Smallest
Difference = 127 – 42
Difference = 85
Thus, the difference between the largest angle and the smallest angle is 85.
