Question: In triangle ABC: Angle A = 50° Angle B = 60° Find: Angle C The type of triangle (based on its angles)

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We have triangle ABC where angle A equals 50 degrees and angle B equals 60 degrees. We need to find angle C and determine what type of triangle this is based on its angles. To find angle C, we use the fundamental property that the sum of all angles in a triangle equals 180 degrees. We set up the equation: angle A plus angle B plus angle C equals 180 degrees. Substituting our known values: 50 degrees plus 60 degrees plus angle C equals 180 degrees. Solving for angle C: angle C equals 180 minus 50 minus 60, which gives us 70 degrees. Now let's classify our triangle by its angles. Triangles can be classified into three types: acute triangles where all angles are less than 90 degrees, right triangles where one angle equals 90 degrees, and obtuse triangles where one angle is greater than 90 degrees. Our triangle has angles of 50 degrees, 60 degrees, and 70 degrees. Since all three angles are less than 90 degrees, this is an acute triangle. To summarize our solution: We were given that angle A equals 50 degrees and angle B equals 60 degrees. Using the fact that the sum of angles in a triangle equals 180 degrees, we calculated that angle C equals 70 degrees. Since all three angles are less than 90 degrees, we classified this as an acute triangle.