Question

are these triangles similar?
r
i
98° h
98°
t
31°
37°
s
j
yes
no

Explanation:

Step1: Find ∠R in △RST

The sum of angles in a triangle is $180^\circ$.
$\angle R = 180^\circ - 31^\circ - 98^\circ = 51^\circ$

Step2: Find ∠I in △IJH

The sum of angles in a triangle is $180^\circ$.
$\angle I = 180^\circ - 37^\circ - 98^\circ = 45^\circ$

Step3: Compare angle sets

△RST angles: $31^\circ, 51^\circ, 98^\circ$
△IJH angles: $37^\circ, 45^\circ, 98^\circ$
No matching pair of equal angle sets, so triangles are not similar.

Answer:

no