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in Parallelograms 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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by (27.3k points)
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Best answer

Option : (C)

The total must be equal to 360° (Sum of quadrilaterals) 

So, 

4x + 7x + 9x + 10x = 360° 

30x = 360°

x = 12° 

Now, 

Substitute x = 12 into 4x (Smallest) + 10x (Biggest) 

So, 

(4 x 12) + (10 x 12) 

= 48 + 120 

= 168 so the answer is C

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