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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