Question

Which relationship is always true for the angles x, y, and z of triangle ABC?x + z = yY + Z = Xx + y + z = 180 degreesx + y + z = 90 degrees​

Answer 1

In any triangle, the sum of all the internal angles (x, y, z) will always equal 180 degrees, according to the Triangle Angle Sum Theorem.

Step-by-step explanation:

In the field of mathematics, specifically geometry, there is a principle known as the Triangle Angle Sum Theorem. This theorem states that the sum of all the internal angles in any triangle will always be 180 degrees. Therefore, if you have a triangle, ABC, where the angles are represented by x, y, and z, the relationship that will always be true among these angles is x + y + z = 180 degrees. Regardless of the types of triangle (be it acute, obtuse, or right), this rule always applies.

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