kim13273 kim13273
  • 02-03-2024
  • Mathematics
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Find the value x in the diagram below

Find the value x in the diagram below class=

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Jedkins
Jedkins Jedkins
  • 02-03-2024

Answer:

x = 110°

Step-by-step explanation:

x + (x-10) + (x+40) = 360°

This is because angle at a point equals to 360°

Then open the brackets

x + x - 10°+ x + 40°=360°

Then collect like terms

That is;

x + x + x = 360° + 10° - 40°

Then the rest is easy

3x = 330°

x = 330°/3

x = 110°

You can go further to find each angle

x=110°

x+40= 110° + 40° = 150°

x-10= 110° - 10 =100°

Check:

100° + 150° + 110° = 360°

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