Electric Power Lines need to run in parallel so that their cables cannot touch each other and short circuit the power grid. Multi-storey floors and rows of windows in high rise Buildings need to run in parallel. Sets of Pipes and Cabling in buildings, ships, cars, and aeroplanes are also ...
In this case, however, two lines intersect, and we therefore have a number of relationships that we can immediately identify. Let's apply a little algebra to these relationships. Consider, for example, the first and last expression above. We can equate these two expressions and manipulate them...
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in·te·ri·or angle (ĭn-tîr′ē-ər) 1.Any of the four angles formed inside two straight lines when these lines are intersected by a third straight line. 2.An angle formed by two adjacent sides of a polygon and included within the polygon. Compareexterior angle. ...
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Mia has taught math and science and has a Master's Degree in Secondary Teaching.Cite this lesson Same-side interior angles are angles that appear as an intersecting line cuts through two parallel lines, and are on the same side of the cutting line, but exterior to the parallel lines. See...
The sum of the angles formed on the same side of the transversal which are inside the two parallel lines is always equal to 180°. In the case of non – parallel lines, alternate interior angles don’t have any specific properties. ...
To prove the theorem, one other relationship between angles created by the lines must be accepted as a postulate. In this form of the proof the interior angles are treated as consecutive angles of a parallelogram since the lines are parallel. The corresponding angles a c are equal. In this ...
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“singular points” where they are not smooth. They can be studied much better in terms of abstract algebra because they are defined algebraically, and many questions in pure algebra can be understood better when the problem is reformulated interms of algebraic geometry. Further, one can study ...