Ângulos verticalmente opostos

Dois ângulos verticalmente opostos têm a mesma amplitude?
[color=#1c4587][i][b][size=150]Observa as figuras seguintes e determina o valor de x[/size][/b][/i][/color]
[color=#073763][i][b]Determina amplitude do ângulo X, apresenta todos os cálculos efetuados.[br][/b][/i][/color]Podes confirmar a solução usando a ferramenta disponível. [sub] [img]data:image/png;base64,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[/img][/sub]
[i][color=#0c343d][b]Determina X sabendo que o triângulo é equilátero, apresenta todos os cálculos efetuados.[br][/b][/color][/i]Podes confirmar o resultado usando a ferramenta disponível. [img]data:image/png;base64,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[/img]
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Information: Ângulos verticalmente opostos