Example Question - congruent angles
Here are examples of questions we've helped users solve.
Parallel Lines and Transversals Angles
The image shows two parallel lines, labeled \( m \) and \( n \), with a transversal line crossing them. The angle formed between the transversal and line \( n \) is given as 133 degrees, and the angle formed between the transversal and line \( m \) is labeled as \( x \) degrees. Since lines \( m \) and \( n \) are parallel and are cut by a transversal, the corresponding angles are congruent. This means the angle opposite to the 133-degree angle (across from the transversal) will also be 133 degrees because it is a corresponding angle to the one on line \( n \). Therefore, the value of \( x \) is 133 degrees.
Geometry Problem on Inscribed Angles of a Circle
The image contains a geometry problem that states: "If 2 inscribed angles of a circle intercept the same arc, then the 2 angles are ____________. If m∠1 = 35°, then m∠2 = ________." The blank should be filled with "congruent," as inscribed angles that intercept the same arc are equal to each other. Thus, if m∠1 = 35°, then m∠2 also equals 35°, because they intercept the same arc.
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