Kumazuno
Kumazuno Kumazuno
  • 13-10-2020
  • Mathematics
contestada

In the diagram below, find the value of y.

In the diagram below find the value of y class=

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chloeinbarrow
chloeinbarrow chloeinbarrow
  • 13-10-2020

Answer:

y=130

Step-by-step explanation:

1) combine all like terms for the inside angles of the triangle

  • (3x-19) + (4x+8) + (x+7)
  • 3x-19+4x+8+x+7
  • 8x-4

2) because the sum of all angles = 180 add that to the sum of all like terms

  • 8x-4=180
  • add 4 on both sides and divide both sides by 8
  • this should be x=23

3) now you replace the x's with 23

  • (3(23) -19)
  • 69-19
  • 50

4) now we know that (3x-19)=50

5) take 180 and subtract 50

  • this is because y and (3x-19) creates a supplementary angle which also equals 180

6) 180-50=130

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