Given
To find the measure of FG.
Explanation:
It is given that,
That implies,
[tex]\begin{gathered} [(x-2)+15]\cdot(x-2)=[(x-3)+19]\cdot(x-3) \\ (x+13)(x-2)=(x+16)(x-3) \\ x^2+13x-2x-26=x^2+16x-3x-48 \\ -2x-26=-48 \\ 2x=48-26 \\ 2x=22 \\ x=\frac{22}{2} \\ x=11 \end{gathered}[/tex]
Hence, the value of x is 11.
And, the measure of FG is, x-3 = 11-3 = 8.
