For what value of x is line m parallel to line n?
1 answer:
Answer:
Step-by-step explanation:
Here, we can use an angle rule.
We see that angles ° and 130° are under a sort of F shape, where lines m and n are the horizontal parts of the letter and where the diagonal line is the vertical part of the letter.
This means we can use the rule:
Corresponding angles are equal.
This means that:
We can now use this equation we have formed to solve for :
Therefore, our final answer is .
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Option B: is sufficient to prove that
ll
Explanation:
Given that ACD is a triangle.
The line EB intersects the sides AC and AD of the triangle.
The point E intersect the side AD and B intersect the side AC.
We need to prove that ll
Then, the side splitter theorem states that "If a line intersects two sides of a triangle and divides the sides proportionally, the line is parallel to the third side of the triangle".
From the side splitter theorem, the line EB intersects the two sides of the triangle AC and AD and divides the sides proportionally.
Thus, the proportion of the sides is given by
This proportionality shows that the line is parallel to the third side of the triangle.
Hence, is sufficient to prove that
ll
Therefore, Option B is the correct answer.