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  • 22-11-2018
  • Mathematics
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All angles in the diagram are measured to the nearest degree.
Work out the upper bound of angle x

All angles in the diagram are measured to the nearest degree Work out the upper bound of angle x class=

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jbiain jbiain
  • 18-03-2020

Answer:

113.5°

Step-by-step 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°

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