Question

6. The measures of two pairs of corresponding angles of two triangles are 24° and 55°. Explain why the two triangles are similar.

Answer 1

We know that

• The angles are corresponding angles.

,

• The measures of the angles 24° and 55°.

It's important to say that two similar triangles have proportional sides but equal angles, that is, the corresponding angles of the triangles must be equal.

Having said, if 24° and 55° are corresponding angles then the triangles are not similar because they must be equal.