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Solving equations involving vertical angles

Solving equations involving vertical angles-example-1

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The values of x and y are:

x = 5

y = 104

Let's find x:

Rememeber that two vertical angles always have the same measure, so we can write:

(12x + 14) = 74

Now we want to solve that equation for x, so let's do that:

12x + 14 = 74

12x = 74 - 14

12x = 60

x = 60/12

x = 5

Now, two adjacent angles always add up to 180°, then we can write:

z + 74° = 180°

z = 180° - 74° = 106°

User BrandonAGr
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