What kind of triangle has the angle measurement of 49,53,78

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To determine the type of triangle based on the given angle measurements, we need to analyze the relationships between the angles.

In a triangle, the sum of all angles is always 180 degrees.

Let's add up the given angle measurements:
49 + 53 + 78 = 180

Since the sum of the angles is 180 degrees, we can conclude that the given measurements form a valid triangle.

To determine the type of triangle, we consider the magnitudes of the angles:

- If all angles of a triangle are less than 90 degrees, it is an acute triangle.
- If one angle of a triangle is exactly 90 degrees, it is a right triangle.
- If one angle of a triangle is greater than 90 degrees, it is an obtuse triangle.

Based on the given angle measurements of 49, 53, and 78 degrees:
- None of the angles are equal to 90 degrees, so it is not a right triangle.
- None of the angles are greater than 90 degrees, so it is not an obtuse triangle.

Given that all angles are less than 90 degrees, we can conclude that the type of triangle formed by the angle measurements of 49, 53, and 78 degrees is an acute triangle.

To determine the type of triangle with angle measurements of 49°, 53°, and 78°, we need to consider the relationships among the angles.

In a triangle, the sum of the three interior angles is always 180°. Therefore, we can calculate the missing angle by subtracting the sum of the given angles from 180°.

Missing angle = 180° - (49° + 53° + 78°)
Missing angle = 180° - 180°
Missing angle = 0°

The missing angle is 0°, which means that the triangle cannot exist. A triangle must have angles with positive measures totaling 180°.

Therefore, there is no triangle with angle measurements of 49°, 53°, and 78°.