Question

what is the value of v?
(figure of triangle qrs with angle at q and angle at s marked equal, side qs = 15, side rs = 19, side qr = v)
v = \boxed{}

Explanation:

Step1: Identify triangle property

In $\triangle QRS$, $\angle Q \cong \angle S$, so the sides opposite these angles are equal. The side opposite $\angle Q$ is $RS = 19$, and the side opposite $\angle S$ is $QR = v$.

Step2: Set equal sides

Since opposite sides of congruent angles are equal, we get:
$v = 19$

Answer:

$19$