Answer: 14.4
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Work Shown:
Use the angle bisector theorem to divide each side adjacent to the congruent angles (x and 13.5) over their corresponding sides that are adjacent to those previously mentioned sides.
So in short we have x/6.6 as one ratio, and 13.5/6.2 as another
Equate the two fractions, cross multiply, solve for x.
x/6.6 = 13.5/6.2
x*6.2 = 6.6*13.5 ... cross multiply
6.2x = 89.1
6.2x/6.2 = 89.1/6.2 .... divide both sides by 6.2
x = 14.371 which is approximate
x = 14.4
