To analyze the triangle and the angles involved based on the description you provided, let's summarize the information:
- You have a triangle with angles A, 60°, and 55°.
- There is also a line that creates angles B, C, and 65°.
- Angle C is opposite the 60° angle in the triangle.
Using the properties of triangles and the fact that the sum of angles in any triangle is 180°, we can examine the options:
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mAngleB + mAngleC + 55° = 180°: This is a possible statement if you consider that the angles B, C, and the 55° angle are angles in a triangle that totals 180°. However, we need to know what angle C is to confirm if this equation is appropriate.
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mAngleA + 60° + 55° = 180°: This statement can be confirmed as true because the angles A, 60°, and 55° are the angles of the triangle, and they do indeed add up to 180°.
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mAngleC = 55°: Based on your description, this statement looks to be incorrect. Angle C, as you said, is opposite the 60° angle, which suggests that angle C cannot be 55°.
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mAngleA = 55°: This statement can be true according to the information given. If angle A is the one measuring 55°, that would also fit with the previously mentioned angle configuration in the triangle.
Considering this analysis, the strongest statement that can be made from the diagram is:
mAngleA + 60° + 55° = 180°.
That captures the fundamental angle-sum property in a triangle correctly.