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A triangle has angle measurements of 56∘56^\circ, 49∘49^\circ, and 75∘75^\circ. What kind of triangle is it?\newlineChoices:\newline(A) acute\newline(B) right\newline(C) obtuse

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Q. A triangle has angle measurements of 56∘56^\circ, 49∘49^\circ, and 75∘75^\circ. What kind of triangle is it?\newlineChoices:\newline(A) acute\newline(B) right\newline(C) obtuse
  1. Calculate sum of angles: Calculate the sum of the given angles: 56°+49°+75°=180°56° + 49° + 75° = 180°.
  2. Confirm triangle type: Since the sum of the angles is exactly 180∘180^\circ, this confirms the figure is a triangle.
  3. Determine triangle type: Determine the type of triangle by analyzing the angle measurements. All angles are less than 90∘90^\circ, which indicates it is an acute triangle.

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