Question

All the angles in the diagram are measured to the nearest degree. Work out the upper bound and lower bound of angle x 59 degree 108 degree 81 degree X degree ??????

Answer 1

Answer: lower bound, x = 110.5°

upper bound, x = 113.5°

Explanation:

There is no diagram but I am going to assume it is a quadrilateral since it has 4 angles. The sum of the angles of a quadrilateral is 360°.

Upper Lower

59° 58.5° ≤ a < 59.5

108° 107.5° ≤ b < 108.5°

81° 80.5° ≤ c < 81.5°

Total: 246.6° ≤ x < 249.5°

Subtract the lower and upper bound totals from 360° :

360.0 360.0

- 246.5 - 249.5

x = 1 1 3.5 1 1 0.5

↓ ↓

upper lower

bound bound