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Determine the angle pair and find the measure of both angles by solving for x.

Angle Pair Name: _________
Relationship: _____________
x = ___________
A. Angle Pair Name: Consecutive Interior
Relationship: Supplementary
x = 55
B. Angle Pair Name: Consecutive Exterior
Relationship: Linear Pair
x = 125
C. Angle Pair Name: Congruent
Relationship: Supplementary
x = 125
D. Angle Pair Name: Linear Pair
Relationship: Consecutive Interior
x = 55

1 Answer

7 votes

Final answer:

To solve for x and determine the measure of both angles in an angle pair, one must understand their relationship, such as whether they are supplementary (sum to 180 degrees) or congruent (same measure).

Step-by-step explanation:

To determine the angle pair and find the measure of both angles by solving for x, we need to first identify the relationship between the angles. The correct relationship will depend on the position of the angles and their angle sum property. For consecutive interior angles, they are supplementary, meaning they add up to 180 degrees. This implies that if one angle is x, the other angle would be 180 - x. Similarly, for a linear pair, the two angles form a straight line and also add up to 180 degrees. However, angles that are congruent, have the same measure. Therefore, determining x would depend on these relationships.

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