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180-36=144
1 kąt ma 62*
2 kąt ma 82*
3 kąt ma 36*
180° - 36° = 144°
x+y = 144°
x - y = 80°
x = 80° + y
80° + y + y = 144°
2y = 144° - 80°
2y = 64°
y = 32°
x = 80° + 32° = 112°
x = 112°
y = 32°
Liczę na najlepszą:)
alfa, beta, gamma - katy trojkata
gamma = 36st.
alfa = beta - 20
suma miar katow w trojkacie = 180
alfa + beta + gamma = 180
alfa + beta + 36 = 180
beta - 20 + beta + 36 = 180
2beta + 36 - 20 = 180
2beta = 180 - 36 + 20
2beta = 164 / 2
beta = 82
alfa = beta - 20
alfa = 82 - 20 = 62
sprawdzenie:
alfa + beta + gamma = 180
62 + 82 + 36 = 180
a zatem rozw. jest poprawne+