A 40°-60°-80° triangle is similar to a triangle that is five times as large. What are the angles of the new triangle?

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Multiple Choice

A 40°-60°-80° triangle is similar to a triangle that is five times as large. What are the angles of the new triangle?

Explanation:
When two triangles are similar, their corresponding angles are equal. Scaling a triangle up or down changes only the side lengths, not the angle measures. So a triangle five times as large has the same angle measures as the original: 40°, 60°, and 80°. The angles can appear in any order, but the triple must be the same as the original. That’s why the angles are 40°-60°-80°; the other sets would not match the preserved angles under similarity.

When two triangles are similar, their corresponding angles are equal. Scaling a triangle up or down changes only the side lengths, not the angle measures. So a triangle five times as large has the same angle measures as the original: 40°, 60°, and 80°. The angles can appear in any order, but the triple must be the same as the original. That’s why the angles are 40°-60°-80°; the other sets would not match the preserved angles under similarity.

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