alonzoyeslyn alonzoyeslyn
  • 25-08-2022
  • Mathematics
contestada

Calculate the value of x in the diagram below showing all working calculations

Calculate the value of x in the diagram below showing all working calculations class=

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vasnetsovcatherine25 vasnetsovcatherine25
  • 25-08-2022

Answer: x = 30

Step-by-step explanation:

According to the Congruent Vertical Angle theoreum, opposite vertical angles must be equal.

Therefore, we can equal both angles to each other.

4x - 40 = x + 50

Now, solve for x. Move x over to the other side.

4x - 40 - x = 50

Subtract the x's.

3x - 40 = 50

Now, add 40 to the other side to isolate the 3x.

3x = 90

Divide by 3.

x = 30

Hope this helps! :)

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