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Which side is opposite to angle x in a triangle with angles 32, 40, and 24 degrees?

User AJC
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Final answer:

In a triangle with angles of 32, 40, and 108 degrees, the side opposite to angle x (108 degrees) is the longest side of the triangle.

Step-by-step explanation:

The student is asking about the properties of triangles, specifically which side is opposite to an angle in a triangle. In any triangle, each angle is opposite to one of the sides. Given a triangle with angles of 32, 40, and 24 degrees, the side opposite the angle x will be the side across from it. Since the angles in a triangle must add up to 180 degrees, we can calculate the measurement of angle x by subtracting the known angles from 180:

  • 180 - 32 - 40 = 108 degrees

Thus, the angle x is 108 degrees . Now, we know that the side opposite to the largest angle in a triangle is the longest side. In this case, since the angles are 32, 40, and 108 degrees, angle x being the largest angle means the side opposite to it is the longest side of the triangle.

User Oscar Mederos
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