Respuesta:
El valor de x/2 = 55
Explicación paso a paso:
Calcular x/2
Si α + β + x= 180
2α + 2β + 90 +130 = 360
2α + 2β +90 +130 = 360
2α + 2β + 220 = 360
2α + 2β = 360 - 220
2α + 2β = 140
2(α + β )= 140
(α + β )= 140/2
α + β = 70
Reemplazamos (α + β)
α + β + x= 180
70 + x = 180
x = 180 - 70
x = 110
Calcular x/2 = 110/2
x/2 = 55
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Respuesta:
El valor de x/2 = 55
Explicación paso a paso:
Calcular x/2
Si α + β + x= 180
2α + 2β + 90 +130 = 360
2α + 2β +90 +130 = 360
2α + 2β + 220 = 360
2α + 2β = 360 - 220
2α + 2β = 140
2(α + β )= 140
(α + β )= 140/2
α + β = 70
Reemplazamos (α + β)
α + β + x= 180
70 + x = 180
x = 180 - 70
x = 110
Calcular x/2 = 110/2
x/2 = 55