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are these triangles similar? s 47° 34° r q w 25° 47° u v yes no

Question

are these triangles similar?
s
47°
34°
r
q
w
25°
47°
u
v
yes
no

Explanation:

Step1: Find ∠Q in △SQR

Sum of angles in triangle is $180^\circ$.
$\angle Q = 180^\circ - 47^\circ - 34^\circ = 99^\circ$

Step2: Find ∠V in △WVU

Sum of angles in triangle is $180^\circ$.
$\angle V = 180^\circ - 25^\circ - 47^\circ = 108^\circ$

Step3: Compare angle sets

△SQR angles: $47^\circ, 34^\circ, 99^\circ$; △WVU angles: $25^\circ, 47^\circ, 108^\circ$. No three matching angles, so triangles are not similar.

Answer:

no