To find the value of the variable in this problem, we can recognize that the diagonal brace forms two parallel lines with the wire fence. The brace acts as a transversal that intersects these two lines, creating alternate interior angles. By using the property that alternate interior angles are congruent when two parallel lines are crossed by a transversal, we can set the angle given (50°) equal to the angle associated with the variable and solve for it.
Describe in 2 to 4 sentences how you would find the answer.
A diagonal brace strengthens the wire fence and prevents it from sagging. The brace makes a 50° angle with the wire as shown. Find the value of the variable.
(Hint: Use the following terms in your answer: parallel lines, transversal, alternate interior angles.)
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