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Problem
Calculate the value of angle x in the picture below.
Solution
Point E is the reflexion of B over line AC.
Draw the circle through points A,B and E.
LBEA = (180-40)/2=70
Point D positioned on the circle because LACD = (boogAE - 20)/2 = 60 {Thales rules}
x = 140/2 = 70
Note: arc lengths are written red.
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