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If the degree measures of the angles of quadrilateral are 4x, 7x, 9x and 10x, what is the sum of the measures of the smallest angle and largest angle?A. 140° B. 150° C. 168° D. 180° |
Answer» Option : (C) Given, ABCD is a parallelogram, Angles of quadrilateral 4x , 7x , 9x , 10x = 4x+7x+9x+10x = 360° [angle sum property of quadrilateral] = 30x = 360° = x = \(\frac{360°}{30}\) = 12° Hence, Sum of smallest and largest angles = 4x+10x = 4×12+10×12 = 48°+120° = 168° |
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