MHB Help with This: Get Assistance Now

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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?
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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