William W. answered • 04/10/19
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Since the angles are congruent, the triangle are similar (A-A similarity). That means the corresponding sides are proportional. So we can set up a proportional relationship to solve for x. The corresponding side to x is 10. The corresponding side to 38.5 is 22 and the corresponding side to 28 is 16.
So, 28 is to 16 like x is to 10 or:
28/16 = x/10
To solve this, cross multiply. It becomes:
(28)(10) = (16)(x)
280 = 16x
x = 17.5
