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Find the value of y given that c=80. Round your answer to the nearest whole.

1 Answer

6 votes

Looking at the given diagram, The angles formed have a common vertex. This means that they are vertically opposite angles. Vertically opposite angles are equal. This means that

12y - 9 = 15y - c

Given that c = 80, we would substitute it into the given equation. It becomes

12y - 9 = 15y - 80

- 9 + 80 = 15y - 12y

71 = 3y

3y = 71

y = 71/3

y = 23.67

Rounding to the nearest whole number,

y = 24

User Phlebotinum
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