Question

determine if triangle $tuv$ and triangle $wxy$ are or are not similar, and, if they are, state how you know. (note that figures are not necessarily drawn to scale.)
answer attempt 1 out of 2
the triangles
$sim$ similar.

Explanation:

Step1: Find ∠U in △TUV

Sum of triangle angles is $180^\circ$.
$\angle U = 180^\circ - 58^\circ - 46^\circ = 76^\circ$

Step2: Find ∠W in △WXY

Sum of triangle angles is $180^\circ$.
$\angle W = 180^\circ - 75^\circ - 46^\circ = 59^\circ$

Step3: Compare all corresponding angles

△TUV angles: $58^\circ, 46^\circ, 76^\circ$
△WXY angles: $75^\circ, 46^\circ, 59^\circ$
No three matching angle pairs exist.

Answer:

The triangles are not similar, because their corresponding interior angles are not all equal.