MHB ASVAB Find Angle CAD: Using Alternate Interior Angles

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The discussion focuses on solving a geometry problem related to the ASVAB using alternate interior angles. It establishes that angle BAC measures 57 degrees due to the properties of alternate interior angles. The relationship between angles CBA, BAC, and CAD is expressed with the equation m ∠CBA + m ∠BAC + m ∠CAD = 180 degrees. This approach simplifies the problem-solving process significantly. The use of alternate interior angles is crucial for determining the measures of the angles involved.
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7tp.png


OK wanted to see how a transparent image would look like here:unsure:

well first $\angle{BAC}=57^o$ by alternate interior angle are equal

and then...
 
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$m \angle CBA + m \angle BAC + m \angle CAD = 180^\circ$
 
well that would shorten the rabbit chase on this one:rolleyes:
 

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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