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Triangle M is similar to triangle N. Triangle M has two angles with measures of 32° and 93°. Which two angle measures could be included in triangle N?

1 Answer

7 votes

If triangle M has angles measuring 32° and 93°, then the third angle in triangle M can be found using the fact that the sum of angles in a triangle is always 180°:

Angle in M = 180° - (32° + 93°) = 180° - 125° = 55°

So, triangle M has angles of 32°, 93°, and 55°.

Since triangle M is similar to triangle N, the corresponding angles in both triangles must have the same measures. Therefore, triangle N must also have angles with measures of 32° and 93°, and the third angle can be found similarly:

Angle in N = 180° - (32° + 93°) = 180° - 125° = 55°

So, triangle N also has angles of 32°, 93°, and 55°.

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User GiamPy
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