When a straight line cuts two parallel lines (the straight line is termed as transversal of parallel lines), eight angles are formed. Some pairs of these angles are congruent and some pairs such as same side exterior angles are supplementary i.e. they add up to 180 degrees. Practice many problems on angles formed when parallel lines cut by a transversal, which are available in grade 8 math worksheets. Learn more about parallel lines and transversals using the resources on this page.
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When parallel lines are cut by a transversal??
If two parallel lines are cut by a transversal, the alternate interior angles are congruent. Theorem: If two lines are cut by a transversal and the alternate interior angles are congruent, the lines are parallel.
What does a corresponding angle add up to?
Using some of the above results, we can prove that the sum of the three angles inside any triangle always add up to 180 degrees. If we have a triangle, you can always draw two parallel lines like this: Now, we know that alternate angles are equal.
What is a transversal line?
A transversal is two parallel lines intersected by a third line at an angle. The third line is referred to as the transversal line. When this line happens, several angles are created. You can use these angles to find the measurements of other angles.
What do alternate interior angles add up to?
When the two lines intersected by the transversal are parallel, corresponding angles are congruent, alternate interior angles are congruent, alternate exterior angles are congruent, and consecutive interior angles become supplementary, which means they have a sum of 180 degrees.
