1.

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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