are these triangles similar? yes no

are these triangles similar? yes no

are these triangles similar? yes no

Answer

Explanation:

Step1: Find third - angle of first triangle

In $\triangle{JKI}$, using the angle - sum property of a triangle ($180^{\circ}$), the third angle $\angle{K}=180^{\circ}-(87^{\circ} + 34^{\circ})=59^{\circ}$.

Step2: Find third - angle of second triangle

In $\triangle{STU}$, using the angle - sum property of a triangle, the third angle $\angle{T}=180^{\circ}-(87^{\circ}+32^{\circ}) = 61^{\circ}$.

Step3: Check for angle - angle similarity

For two triangles to be similar, their corresponding angles must be equal. Since the angles of $\triangle{JKI}$ and $\triangle{STU}$ are not equal, the triangles are not similar.

Answer:

no