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?

Question

Philoid · Accepted Answer

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 * 12) + (10 * 12)

= 48 + 120

= 168 so the answer is C