Question

what is the value of c?

Explanation:

Step1: Identify similar - triangles

The two triangles are similar by the Angle - Angle (AA) similarity criterion. The two marked angles are equal, and they share a common angle at $T$.

Step2: Set up proportion

For similar triangles, the ratios of corresponding sides are equal. So, $\frac{c}{3}=\frac{1}{1}$ (assuming the equal - marked sides are corresponding sides of the similar triangles).

Step3: Solve for $c$

Cross - multiply to get $c = 3$.

Answer:

$3$