QUESTION IMAGE
Question
a section of wall is being framed. a model of the framing work is shown below. which best describes the relationship between the 125° angle and angle a? they are same side interior angles. angle a measures 55°. they are alternate interior angles. angle a measures 125°. they are vertical angles. angle a measures 125°. they are corresponding angles. angle a measures 55°.
Step1: Recall angle - pair relationships
Same - side interior angles are supplementary (sum to 180°), alternate interior angles are equal, vertical angles are equal, and corresponding angles are equal when lines are parallel.
Step2: Analyze the position of the angles
The 125° angle and angle A are on the same side of the transversal and between the parallel - looking lines. They are same - side interior angles. Since same - side interior angles are supplementary, if one angle is 125°, then angle A=180° - 125° = 55°.
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They are same side interior angles. Angle A measures 55°.