Answer:
The triangles are not similar
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
Triangle X.Y.Z
[tex]\angle X=61^o[/tex]
[tex]\angle Z=90^o[/tex]
[tex]\angle Y=90^o-61^o=29^o[/tex] ---> angle X and angle Y are complementary angles
Triangle H.G.J
[tex]\angle H=90^o-34^o=56^o[/tex] ---> angle H and angle J are complementary angles
[tex]\angle G=90^o[/tex]
[tex]\angle J=34^o[/tex]
so
X.Y.Z is a[tex]61^o-90^o-39^o[/tex] triangle
H.G.J is a[tex]56^o-90^o-34^o[/tex] triangle
The measure of its corresponding angles are not congruent
therefore
The triangles are not similar
