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in Quadrilaterals by (26.9k points)
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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°

1 Answer

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Best 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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