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12 votes
Mina says triangle A with angles

measuring 34° and 57° is similar to

triangle B with angles measuring 57°

and 89º. Is Mina correct?

User Guicara
by
8.1k points

1 Answer

10 votes

Answer:

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.

User Kyle Simek
by
8.6k points
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