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Vertical angles are pairs of angles that are opposite each other when two lines intersect, and they are always equal in measure. A linear pair of angles consists of two adjacent angles that form a straight line, making them supplementary, meaning their measures add up to 180 degrees. The degree measure of a straight line is 180 degrees. Given that angle 2 and the angle measuring 41 degrees are supplementary, angle 2 measures 139 degrees. Consequently, angle 3, being vertical to angle 2, also measures 139 degrees.
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look up the definitions for (1) a pair of vertical angles and (2) a linear pair of angles
 
Much the same but angle 2 and the angle with measure 41 degrees are "supplementary angles", together they make a straight line. What is the degree measure of a straight line? And while "vertical angles" is the easiest way to get the measure of angle 3, note that it and angle 2 also form a straight line. What does that tell you about getting the measure of angle 3 from the now known measure of angle 2?
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...

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