Question

Mina says triangle A with angles

measuring 34° and 57° is similar to

triangle B with angles measuring 57°

and 89º. Is Mina correct?

Answer 1

Yes, Mina is correct

Explanation:

Let the triangles be A and B

Given

Triangle A:

`Angles = 34, 57`

Triangle B:

`Angles = 89, 57`

Required

Is Mina's claim correct?

First, we calculate the third angle in both triangles.

For A:

`Third\ Angle = 180 - 34 - 57`

`Third\ Angle = 89`

For B:

`Third\ Angle = 180- 89 - 57`

`Third\ Angle = 34`

For triangle A, the angles are: 34, 57 and 89

For triangle B, the angles are: 34, 57 and 89

Since both triangles have the same angles, then by the postulate of AAA (Angle-Angle-Angle), the triangles are similar.