Question

    What is the sum of the smallest and the largest angles of the triangle?

    A 125° Correct Answer Incorrect Answer
    B 143° Correct Answer Incorrect Answer
    C 92° Correct Answer Incorrect Answer
    D 108° Correct Answer Incorrect Answer

    Solution

    ∆ABC ∠ A – ∠ B = 330, ∠ B - ∠ C = 180 ∠ A = 33 + ∠ B, ∠ C = ∠ B – 180 we know that ∠ A +∠ B +∠ C = 1800 33 + ∠ B + ∠ B +∠ B – 180 = 1800 3∠ B = 165 = ∠ B = 550 ∠ A – 550 = 330 =∠ A = 880 ∠ C = 370 ∠ A +∠ C = 88 + 37 =1250

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