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Para encontrar o ângulo pedido, começamos observando que o ângulo de 70° indicado fora do triângulo é oposto pelo vértice ao ângulo interno formado pelo cruzamento das duas retas. Ângulos opostos pelo vértice possuem a mesma medida, portanto esse ângulo interno também mede 70°. Agora analisamos o triângulo maior à esquerda. Já conhecemos dois ângulos dele: 70° e 40°. A soma dos ângulos internos de qualquer triângulo é 180°. Logo, o terceiro ângulo desse triângulo é: 180° − = 70° A
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Quer descobrir esse ângulo sem usar papel e caneta? Então vamos seguir uma sequência lógica usando apenas propriedades básicas da geometria. Comece observando a figura do lado direito. Ali aparece um ângulo de 40°, mas ele é externo ao quadrilátero. Isso significa que o ângulo interno correspondente é suplementar a ele. Como ângulos suplementares somam 180°, temos: 180° − 40° = 140° Agora analisamos o quadrilátero. A soma dos ângulos internos de qualquer quadrilátero é sempre 360°. Nesse qua
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