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In each diagram, line m is parallel to line n, and line t intersects lines m and n.

1149n669
98°125°m
829ve
Based on the diagrams, which statement is true? (8.8D, SS, RC3)
F The value of x is 125, because the two angles shown in each diagram are congruent.
G The value of x is 55, because the two angles shown in each diagram are supplementary.
The value of x is 90, because the two angles shown in each diagram are right angles.
y The value of x is 75, because the two angles shown in each diagram are complementary,

In each diagram, line m is parallel to line n, and line t intersects lines m and n-example-1
User EJ Morgan
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2 Answers

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Final answer:

The true value of x depends on the relationship between the angles in the diagrams. However, due to the lack of visual information or specific angles, a definitive answer cannot be provided.

Step-by-step explanation:

The question is related to geometry, specifically the angles formed when a transversal line intersects two parallel lines. The information provided and the statements listed imply the need to understand angle relationships such as congruent angles, supplementary angles, right angles, and complementary angles. To determine which statement about the value of x is true, we need more information about the specific angles and the diagrams mentioned, which are not provided. Based on standard angle relationships, when a transversal cuts parallel lines, corresponding angles are congruent, alternate interior angles are congruent, and same-side interior angles are supplementary. If the angles given are corresponding or alternate interior angles, then the value of x would be equal to the given angle. If the angles are same-side interior, their measures would add up to 180 degrees. Unfortunately, without diagrams or further description, we cannot provide a definitive answer to this question.

User Sumit Parakh
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6 votes

Answer:

The value of x is 55, because the two angles shown in each diagram are supplementary.

User LihO
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