Answer:
x = 68
Step-by-step explanation:
The angle bisector divides the sides of the triangle proportionally.
Setup
Ratios of corresponding sides are the same:
(x +2)/62 = 112/99.2
Solution
Multiplying by 62 gives ...
x +2 = 62(112/99.2) = 70
x = 68 . . . . . . . . subtract 2
The value of x is 68.
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Additional comment
There is a tendency to think of the two triangles as similar. They are not. While outside segments are proportional, the shared segment is congruent with itself. That is, not all corresponding sides of the triangles are proportional, hence the triangles are not similar.
