Q. 215.0( 1 Vote )

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 :

Given,


ABCD is a parallelogram,


Angles of quadrilateral 4x , 7x , 9x , 10x


= 4x+7x+9x+10x = 360° [ angle sum property of quadrilateral]


= 30x = 360°


=


Hence, sum of smallest and largest angles = 4x+10x = 4×12+10×12


= 48°+120° = 168°

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