Question

△qrs and △uvw are shown below. which statement is true? △qrs is similar to △uvw. △qrs is not similar to △uvw. there is not enough information to determine whether the triangles are similar.

Explanation:

Step1: Find missing angle in $\triangle QRS$

Sum of angles in triangle is $180^\circ$.
$\angle S = 180^\circ - 23^\circ - 104^\circ = 53^\circ$

Step2: Find missing angle in $\triangle UVW$

Sum of angles in triangle is $180^\circ$.
$\angle U = 180^\circ - 23^\circ - 49^\circ = 108^\circ$

Step3: Compare triangle angle sets

$\triangle QRS$ angles: $23^\circ, 104^\circ, 53^\circ$
$\triangle UVW$ angles: $23^\circ, 49^\circ, 108^\circ$
No matching pair of two equal angles.

Answer:

$\triangle QRS$ is not similar to $\triangle UVW$.