Дано : |_ С = 90°
А=2/3(дробь ) |_ ABC
BC - биссектриса
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Найти : |_ BЕA
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РЕШЕНИЕ :
|_ A + |_ ABC = 90
2/3 |_ ABC +|_ ABC =90
1(целое)2/3(дробь) |_ ABC =90
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|_ ABC = 90 1(целое ) 2/3(дробь ) =54° ,
|_A = 2/3(дробь ) = 36°
|_ABE = 27°
|_ BEA = 180°=117 °
ОТВЕТ : угол BEA = 117°