Why Is the Angle Considered 90 Degrees?

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The discussion centers on the geometric reasoning behind why the angle is considered 90 degrees. It explains that line segment CE is parallel to line segment AB, while line segment AD is perpendicular to AB at point A. Consequently, this makes line segment AD also perpendicular to line segment EC at point E. The relationship between these segments establishes the right angle at E. Understanding these geometric principles clarifies why the angle is defined as 90 degrees.
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http://www.e-xamit.ie/2005test/php/GetDocByID.php?id=562&prep=565&soln=562&tip=570&port=566


I can't figure out how it takes the angle dec to be 90 degrees? How?
 
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Line segment ce is parallell to line segment ab. Line segment ad is perpendicular to ab at a, hence, ad is perpindicular to ec at e.
 

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