janessamperlman janessamperlman
  • 20-06-2021
  • Mathematics
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Congruent angle pairs : Find value of x

Congruent angle pairs Find value of x class=

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ChristinaRed
ChristinaRed ChristinaRed
  • 25-06-2021

Answer:

(Opt.B) 18

Step-by-step explanation:

4x = 2y - x (vertically opposite angles are equal)

4x + x = 2y

5x = 2y ----- (1)

4x + 2y + x = 180 (Linear pair angles)

5x + 2y = 180

From (1) we can understand that, the value of 5x and 2y is the same. So,

5x + 5x = 180

10x = 180

x = 180/10

x = 18

Just completing,

Putting the value of x in (1)

5*18 = 2y

90 = 2y

90/2 = y

45 = y

Hope you understand

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Thank You

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