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All triangles have at least 2 acute angles? - Answers

True. The reasoning behind it is this: the sum of the angles in any triangle will always equal 180o.Equilateral (all sides & angles equal)3x = 180x = 60Isosceles (two equal sides & angles) - can include Right triangle (90 + 45 + 45)x + 2y = 180y = (180-x)/2No matter what x equals (acute, right, or obtuse), y will be less than 90 (acute) because half of 180 is 90 and half of anything less than 180 will be less than 90.Scalene (all sides & angles different) - can include Right triangle (90 + x + y)x + y + z = 180If one angle is obtuse...x > 90180 - x < 90y + z < 90If together they are less than 90, then clearly both are less than 90 (acute)



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All triangles have at least 2 acute angles? - Answers

https://math.answers.com/other-math/All_triangles_have_at_least_2_acute_angles

True. The reasoning behind it is this: the sum of the angles in any triangle will always equal 180o.Equilateral (all sides & angles equal)3x = 180x = 60Isosceles (two equal sides & angles) - can include Right triangle (90 + 45 + 45)x + 2y = 180y = (180-x)/2No matter what x equals (acute, right, or obtuse), y will be less than 90 (acute) because half of 180 is 90 and half of anything less than 180 will be less than 90.Scalene (all sides & angles different) - can include Right triangle (90 + x + y)x + y + z = 180If one angle is obtuse...x > 90180 - x < 90y + z < 90If together they are less than 90, then clearly both are less than 90 (acute)



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https://math.answers.com/other-math/All_triangles_have_at_least_2_acute_angles

All triangles have at least 2 acute angles? - Answers

True. The reasoning behind it is this: the sum of the angles in any triangle will always equal 180o.Equilateral (all sides & angles equal)3x = 180x = 60Isosceles (two equal sides & angles) - can include Right triangle (90 + 45 + 45)x + 2y = 180y = (180-x)/2No matter what x equals (acute, right, or obtuse), y will be less than 90 (acute) because half of 180 is 90 and half of anything less than 180 will be less than 90.Scalene (all sides & angles different) - can include Right triangle (90 + x + y)x + y + z = 180If one angle is obtuse...x > 90180 - x < 90y + z < 90If together they are less than 90, then clearly both are less than 90 (acute)

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      True. The reasoning behind it is this: the sum of the angles in any triangle will always equal 180o.Equilateral (all sides & angles equal)3x = 180x = 60Isosceles (two equal sides & angles) - can include Right triangle (90 + 45 + 45)x + 2y = 180y = (180-x)/2No matter what x equals (acute, right, or obtuse), y will be less than 90 (acute) because half of 180 is 90 and half of anything less than 180 will be less than 90.Scalene (all sides & angles different) - can include Right triangle (90 + x + y)x + y + z = 180If one angle is obtuse...x > 90180 - x < 90y + z < 90If together they are less than 90, then clearly both are less than 90 (acute)

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