Question

are these triangles similar?
h
33°
i 100°
j
t
38°
r 100°
s
yes
no

Explanation:

Step1: Calculate ∠J in △HIJ

The sum of angles in a triangle is $180^\circ$.
$\angle J = 180^\circ - 100^\circ - 33^\circ = 47^\circ$

Step2: Calculate ∠S in △TRS

The sum of angles in a triangle is $180^\circ$.
$\angle S = 180^\circ - 100^\circ - 38^\circ = 42^\circ$

Step3: Compare triangle angle sets

△HIJ angles: $33^\circ, 100^\circ, 47^\circ$
△TRS angles: $38^\circ, 100^\circ, 42^\circ$
Only one pair of angles is equal, so the triangles do not have all corresponding angles equal (required for similarity).

Answer:

no