Question

    The ratio of the largest and the smallest angle of a triangle is 3:2. The smallest angle is 80% of the sum of these two angles. What is the sum of the remaining angles except the largest angle?

    A 40° Correct Answer Incorrect Answer
    B 100° Correct Answer Incorrect Answer
    C 30° Correct Answer Incorrect Answer
    D 90° Correct Answer Incorrect Answer

    Solution

    smallest angle=(3x+2x) ×80% =5x×4/5=4x° Sum of triangle = 3x+2x+4x=180° x =20 Total =(2x+3x) =5x =5×20° =100°

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