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Art [367]
3 years ago
6

Find the value of x and y <1=(10x) <2=(10y+20)<3 =100 ​

Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0

Answer:

  1. 100
  2. 80
  3. 100
  4. 80

x = 10

y = 6

Step-by-step explanation:

We can use the vertical angle theorem to solve for most of this problem. We know that 1/3 will have the same measure and so will 4/2. We can create an equation to solve for 1 and 3.

10x = 100

x = 10

We aren't given angle 4 so we are going to have to solve that ourselves. We can create an equation knowing that 4 and 3 will create a supplementary angle.

100 + z = 180

z = 80

Now, that we have angle 4, we know that angle 2 will have the same measure because they are vertical angles. Now to find the value of y, we can take the angle measure and solve for it.

10y + 20 = 80

10y = 60

y = 6

Best of Luck!

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