We have two similar triangles in the given figure:
a) Triangle ABC
b) Triangle ADC
Two given sides of triangle ABC are 2 and 1.
The corresponding two sides of triangle ADC are (2+x) and 3.
For similar triangles, the ratio of corresponding sides is always the same. So we can write:
[tex]2:1=(2+x):3 \\ \\
\frac{2}{1}= \frac{2+x}{3} \\ \\
6=2+x \\ \\
x=4 [/tex]
Thus, the measure of x is 4
