The measures of two angles of pairs of triangles are given. which pairs of triangles are similar?

One, Four and Five

Step-by-step explanation:

The sum of the internal angles of a triangle is 180°

In each pair of triangles, you need to prove that all angles sum 180° so, you sum two angles of triangle one and the different from triangle 2.

Case #1

Triangle 1: 55°, 45°

Triangle 2: 55°, 80°

If you sum 55°+45°+80°=180° both triangles are similar.

Case #2

Triangle 1: 103°, 32°

Triangle 2: 103°, 25°

If you sum 103°+32°+ 25°=160° not similar.

Case #3

Triangle 1: 73°, 47°

Triangle 2: 47°, 30°

If you sum 73°+47°+30°=150° not similar.

Case #4

Triangle 1: 105°, 23°

Triangle 2: 52°, 105°

If you sum 105°+23°+52°=180° both triangles are similar.

Case #5

Triangle 1: 99°, 41°

Triangle 2: 40°, 99°

If you sum 99°+40°+41°=180° both triangles are similar.

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step-by-step explanation:

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