We appreciate your visit to If two parallel lines are cut by a transversal then the sum of the two exterior angles on one side of the transversal is. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final Answer:
The sum of the two exterior angles on one side of a transversal is always 180 degrees. This fundamental geometric property holds true when two parallel lines are intersected by a transversal.
Explanation:
When two parallel lines are intersected by a transversal, various angle relationships are formed. One of these relationships involves the exterior angles on one side of the transversal. Exterior angles are supplementary, which means that their sum is 180 degrees.
When a transversal intersects two parallel lines, it creates a pair of corresponding angles on each side. Corresponding angles are congruent, which means they have the same measure. However, when considering the exterior angles, they are positioned outside the parallel lines and on the same side of the transversal.
The reason the sum of the exterior angles is 180 degrees is due to the property of supplementary angles. Supplementary angles add up to 180 degrees, and because the exterior angles are on the same side of the transversal, they form a linear pair, making them supplementary to each other.
This fundamental geometric concept is useful for solving problems related to parallel lines and transversals and is a key component of geometry.
Learn more about exterior angles
brainly.com/question/28835566
#SPJ11
Thanks for taking the time to read If two parallel lines are cut by a transversal then the sum of the two exterior angles on one side of the transversal is. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
