Respuesta:
Alternativa C
Explicación paso a paso:
■ Solución:
[tex] \alpha + \beta = (180\degree - 35\degree) \\ \alpha + \beta =145\degree \\ \\ \\ (180\degree - x) + \alpha + \beta + (180\degree - 35\degree) = 360\degree \\ 180\degree - x + \alpha + \beta + 180\degree - 35\degree = 360\degree \\ 360\degree - x + ( \alpha + \beta ) - 35\degree = 360\degree \\ ( \alpha + \beta ) - 35\degree = x \\ 145\degree - 35\degree = x \\ 110\degree = x \\ x = 110\degree[/tex]
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Respuesta:
Alternativa C
Explicación paso a paso:
■ Solución:
[tex] \alpha + \beta = (180\degree - 35\degree) \\ \alpha + \beta =145\degree \\ \\ \\ (180\degree - x) + \alpha + \beta + (180\degree - 35\degree) = 360\degree \\ 180\degree - x + \alpha + \beta + 180\degree - 35\degree = 360\degree \\ 360\degree - x + ( \alpha + \beta ) - 35\degree = 360\degree \\ ( \alpha + \beta ) - 35\degree = x \\ 145\degree - 35\degree = x \\ 110\degree = x \\ x = 110\degree[/tex]