Question
se what you know about vertical angles to answer the question below.(1 point)
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Given vertical angles ∡ABC=2x° and ∡DEF=300°. What is the value of x?
Response area
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Given vertical angles ∡ABC=2x° and ∡DEF=300°. What is the value of x?
Response area
Answers
GPT-4o mini
Vertical angles are angles that are opposite each other when two lines intersect. They are always equal in measure.
In this case, we have two angles: ∡ABC = 2x° and ∡DEF = 300°. Since these are vertical angles, we can set them equal to each other:
\[
2x = 300
\]
Now, we can solve for \(x\):
1. Divide both sides by 2:
\[
x = \frac{300}{2}
\]
2. Calculate:
\[
x = 150
\]
Therefore, the value of \(x\) is **150**.
In this case, we have two angles: ∡ABC = 2x° and ∡DEF = 300°. Since these are vertical angles, we can set them equal to each other:
\[
2x = 300
\]
Now, we can solve for \(x\):
1. Divide both sides by 2:
\[
x = \frac{300}{2}
\]
2. Calculate:
\[
x = 150
\]
Therefore, the value of \(x\) is **150**.