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2.3: Нульовий кут
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$\measuredangle AOA = 0$ для будь-якого $A \ne O$ . $\measuredangle AOA + \measuredangle AOA \equiv \measuredangle AOA$ . Віднімаємо $\measuredangle AOA$ з обох сторін, отримуємо, що\(\measuredangl... $\measuredangle AOA = 0$ для будь-якого $A \ne O$ . $\measuredangle AOA + \measuredangle AOA \equiv \measuredangle AOA$ . Віднімаємо $\measuredangle AOA$ з обох сторін, отримуємо, що $\measuredangle AOA \equiv 0$ . За аксіомою III $-\pi < \measuredangle AOA \le \pi$ ; отже $\measuredangle AOA = 0$ . За пропозицією $\PageIndex{1}$ , $\measuredangle AOA = 0$ . $\measuredangle AOB \equiv - \measuredangle BOA.$ $\measuredangle AOB + \measuredangle BOA \equiv \measuredangle AOA$