Question
One of the same side angles of two parallel lines is three times the other angle. Find the two angles.
Answers
Answered by
GPT 3.5
Let's call the smaller angle x, and the larger angle 3x.
Since the two angles are same side angles of parallel lines, they are corresponding angles. According to the corresponding angles theorem, corresponding angles are equal.
Therefore, we can set up the equation: x = 3x.
Solving for x, we get x = 0.
Since the angles must be positive, we discard the solution x = 0.
Hence, there are no two angles that satisfy the given conditions.
Since the two angles are same side angles of parallel lines, they are corresponding angles. According to the corresponding angles theorem, corresponding angles are equal.
Therefore, we can set up the equation: x = 3x.
Solving for x, we get x = 0.
Since the angles must be positive, we discard the solution x = 0.
Hence, there are no two angles that satisfy the given conditions.
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