Math Problem Statement
Solution
To solve for angle , we need to analyze the geometric relationships given in the diagram and use the fact that lines and are parallel.
Step-by-Step Solution:
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Identify Corresponding Angles: Since lines and are parallel, and line acts as a transversal, we know that the angle at (35°) is equal to the angle at (110° - 25°), because they are corresponding angles.
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Calculate the Angle at Point : The angle at is given as 110° (an exterior angle to triangle ) and there is another angle adjacent to it (25°). To find the interior angle at :
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Use Alternate Interior Angles: Angle equals angle , and since line is parallel, and we know that:
To solve correctly and accurately.
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Math Problem Analysis
Mathematical Concepts
Parallel Lines
Transversal Lines
Corresponding Angles
Interior Angles
Formulas
Corresponding Angles are Equal
Sum of Angles in a Triangle = 180°
Theorems
Corresponding Angles Theorem
Angle Sum Property of Triangles
Suitable Grade Level
Grades 9-10
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