rockarock132x rockarock132x
  • 18-09-2020
  • Mathematics
contestada

If shown, line AB and line CD are straight lines. Find x in each case.

If shown line AB and line CD are straight lines Find x in each case class=

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akposevictor
akposevictor akposevictor
  • 23-09-2020

Answer:

x = 45

Step-by-step explanation:

To find x, derive an equation from the figure given.

Angles on a straightline = 180°. Therefore:

[tex] 15 + x + 2x + 120 - 2x = 180 [/tex]

Combine like terms

[tex] 15 + 120 + x + 2x - 2x = 180 [/tex]

[tex] 135 + x = 180 [/tex]

Subtract 135 from both sides

[tex] 135 + x - 135 = 180 - 135 [/tex]

[tex] x = 45 [/tex]

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