Question

The angles of a quadrilateral are in the ratio 2:4:5:6 what is the difference between the largest angle and the smallest angle​

Answer 1

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.