Question

are these triangles similar?
j
i
103°
q
98°
46°
r
46°
p
k
yes
no

Explanation:

Step1: Calculate ∠J in △JKI

Sum of angles in triangle is $180^\circ$.
$\angle J = 180^\circ - 103^\circ - 46^\circ = 31^\circ$

Step2: Calculate ∠R in △QRP

Sum of angles in triangle is $180^\circ$.
$\angle R = 180^\circ - 98^\circ - 46^\circ = 36^\circ$

Step3: Compare angle sets

△JKI angles: $31^\circ, 46^\circ, 103^\circ$
△QRP angles: $36^\circ, 46^\circ, 98^\circ$
No matching 3 equal angle pairs, so triangles are not similar.

Answer:

no