Question

PQR has two known interior angles of 34°, and 80°. △RST has two known interior angles of 24°, and 90°. What can be determined about whether △PQR and △RST are similar?

Answer 1

The triangles are not similar.

Explanation:

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Answer 2

△PQR and △RST are not similar.

Explanation:

In triangle △PQR, two known interior angles are 34° and 80°. So the measure of third angle is

`180-34-80=66`

In triangle △RST, two known interior angles are 24° and 90°.

`180-24-90=66`

Two triangles are similar if their corresponding angles are same and the corresponding sides are proportional.

Since the angles of △PQR and △RST are not same, therefore we can say that the △PQR and △RST are not similar.