To determine the value of x, we can set up an equation using the corresponding angles formed between the parallel lines and the transversal.
From the information given, we have the angle in the upper right marked as (3x - 3) degrees, and the angle in the lower right marked as 1 degree. These two angles are corresponding angles, so they are congruent.
Therefore, we can set up the equation:
3x - 3 = 1
Adding 3 to both sides:
3x = 4
Dividing both sides by 3:
x = 4/3 = 1.33
Therefore, the value of x is approximately 1.33.
Use the diagram below to answer questions 4–5. The transversal goes from the lower left to the upper right. Arrows on the parallel lines indicate that they are parallel. The intersection of the bottom parallel line with the transversal creates 4 angles. The angle in the upper right is marked left parenthesis 3 x minus 3 right parenthesis degrees. The angle in the lower right is marked 1. The intersection of the top parallel line with the transversal creates 4 angles. The angle in the lower right is marked left parenthesis 5 x plus 15 right parenthesis degrees. Question What is the value of x? (1 point) Responses 24 24 9 9 21 21 14
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