Question

All angles in the diagram are measured to the nearest degree.

Work out the upper bound of angle x

Answer 1

113.5°

Explanation:

All angles in the diagram are measured to the nearest degree. Then 59° could actually be something between 58.5° and 59.5°. Analogously, 108° is between 107.5° and 108.5°, and 81° is between 80.5° and 81.5°

The addition of the four angles must be equal to 360°

The upper bound (the maximum possible value) of x is then:

x = 360° - (58.5° + 107.5° + 80.5°) = 113.5°