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Evgenia137
@Evgenia137
July 2022
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Kазак
Начнём с треугольника TER
∠TER = 75°
∠ETR = x°
∠ERT = 180-75-x = 105-x
Теперь треугольник FER
∠FRE = x-(105-x) = 2x-105
∠FER = ∠FRE = 2x-105
∠EFR = 180-2*(2x-105) = 180-4x+210 = 390-4x
∠TEF = 75+2x-105 = 2x-30
Теперь трапеция в целом
∠EFR = ∠TEF
390-4x = 2x-30
420 = 6x
x =
70°
И второй угол трапеции
180°-70° =
110°
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Answers & Comments
∠TER = 75°
∠ETR = x°
∠ERT = 180-75-x = 105-x
Теперь треугольник FER
∠FRE = x-(105-x) = 2x-105
∠FER = ∠FRE = 2x-105
∠EFR = 180-2*(2x-105) = 180-4x+210 = 390-4x
∠TEF = 75+2x-105 = 2x-30
Теперь трапеция в целом
∠EFR = ∠TEF
390-4x = 2x-30
420 = 6x
x = 70°
И второй угол трапеции
180°-70° = 110°