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Which triangle is ​△ABC​ similar to and why? △ABC is similar to △DEF by ​ AA Similarity Postulate ​. △ABC is similar to △GHI by ​ AA Similarity Postulate ​. △ABC is similar to △JKL by ​ AA Similarity Postulate ​. ​△ABC​ is not similar to any of the triangles given. NOTE: Figures are not drawn to scale. Four triangles are given. Triangle A B C, triangle D E F, triangle G H I, and triangle J K L. Angle A is 20 degrees. Angle B is 80 degrees. Angle D is 18 degrees. Angle E is 80 degrees. Angle G is 20 degrees. Angle H is 70 degrees. Angle K is 80 degrees. Angle L is 80 degrees.

User Mary Ryllo
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2 Answers

6 votes
The answer would be, it is △JKL by ​ the AA Similarity Postulate.

Explanation for this would be:
For ΔABC
m∠A + m∠B + m∠C = 180°
20° + 80° + m∠C = 180°
100° + m∠C = 180°
m∠C = 80°
Therefore, the two angle pairs are congruent ⇒ △ABC ~ △JKL
User Idr
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5.9k points
1 vote

Just took the test and got the the correct answer *\(♡°▽°♡)/*

Look at the image down below!!

Which triangle is ​△ABC​ similar to and why? △ABC is similar to △DEF by ​ AA Similarity-example-1
User Yanes
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5.7k points