Lines a and b are parallel.
What is the size of angle ?
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Lines a and b are parallel.
What is the size of angle ?
Please note that according to the definition of corresponding angles, the angle corresponds to the angle located on line a and is also within the small triangle created in the drawing.
As we already have one angle in this triangle, we will try to find and calculate the remaining angles.
Furthermore the angle opposite to the angle 62 next to the vertex is also equal to 62 (vertex opposite angles are equal to one other)
Therefore, we can now calculate the missing angle in the small triangle created in the drawing, which is the angle
64
If one of two corresponding angles is a right angle, then the other angle will also be a right angle.
While parallel lines create equal corresponding angles, α isn't corresponding to the 62° angle. The α is part of a different triangle that contains the 54° and 62° angles.
Look for the three vertices that form a closed triangle. In this problem, α, 54°, and 62° all meet at the vertices of one small triangle in the diagram.
Corresponding angles are in the same relative position when a line crosses two parallel lines. They're like matching corners - same position, different intersection point.
The triangle angle sum () is the most direct method here. While other angle relationships exist, this approach gives you α immediately once you identify the correct triangle.
Focus on where the angle labels meet. The 62°, 54°, and α all share vertices that form one complete triangle, even if other lines cross through the area.
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