Question

7. Two angles are vertical in relation. One angle is 2y and the other angle is y +130. Find each

angle measure. Is your answer reasonable? Explain how you know.
TV BOF
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Answer 1

To solve for the vertical angles, we set up the equation 2y = y + 130. Solving for y gives us 130, and substituting back, we get each angle measures 260 degrees, which is reasonable since vertical angles are equal.

Step-by-step explanation:

Two angles are vertical angles, which means they are opposite each other when two lines intersect and they are equal in measure. The problem states that one angle is 2y and the other is y + 130. Since vertical angles are equal, we can set up the equation 2y = y + 130.

Now, we solve for y:

1. Subtract y from both sides of the equation to get y = 130.
2. Now that we have the value of y, we can find each angle by substituting the value of y back into the expressions for each angle.
3. The first angle is 2y, so it is 2(130) = 260 degrees.
4. The second angle is y + 130, so it is 130 + 130 = 260 degrees.

To check if the answer is reasonable, we can note that vertical angles must be equal, and both our calculated angles are 260 degrees, confirming they are equal and thus reasonable.