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Determine the value of Y.

Determine the value of Y.-example-1

2 Answers

3 votes

Opposite angles are equal

  • 3x+18=5x-4
  • 22=2x
  • x=11

Now

linear pairs are supplementary

  • 3x+18+3(4y+3)=180
  • 3(11)+18+12y+9=180
  • 33+18+12y+9=180
  • 12y+60=180
  • 12y=120
  • y=10
User Jethar
by
8.8k points
5 votes

Answer:

y=10°

Explanation:

Here,

→(3x+18)°=(5x-4)°

→18°+4°=5x-3x

→22°=2x

→x=11°

Also,

3(4y+3)°+5x-4°=180°[The sum of the linear pair is 180°]

12y+9°+5x-4°=180°

12y+5°+5×11°=180°

12y+5°+55°=180°

12y=180°-60°

12y=120°

y=120°/12

y=10°

User Tehwalrus
by
7.0k points

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