MHB ASVAB Find Angle CAD: Using Alternate Interior Angles

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karush
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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:
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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