In a triangle, if one angle measures $130°$, which of the following statements is true about the triangle and its angles?

• A. The triangle is a right triangle and the other two angles must both be $25°$.
• B. The triangle can have another angle of $50°$.
• C. The triangle can have three angles each measuring $130°$.
• D. The triangle cannot be a right triangle because an angle of $130°$ is obtuse and the sum of the angles in a triangle is $180°$.

Answer: (D)

Verified step by step guidance

1. Recall that the sum of the interior angles in any triangle is always \(180^\circ\).
2. Given one angle measures \(130^\circ\), recognize that this angle is obtuse because it is greater than \(90^\circ\).
3. Since one angle is \(130^\circ\), calculate the sum of the remaining two angles by subtracting \(130^\circ\) from \(180^\circ\): \(180^\circ - 130^\circ = 50^\circ\).
4. Understand that the remaining two angles must add up to \(50^\circ\), so neither of them can be \(90^\circ\) (which would make the triangle a right triangle), nor can any angle be \(130^\circ\) again because the total would exceed \(180^\circ\).
5. Conclude that the triangle cannot be a right triangle, cannot have three \(130^\circ\) angles, and the other two angles must sum to \(50^\circ\), which means the triangle can have another angle of \(50^\circ\) only if the third angle is \(0^\circ\), which is impossible; therefore, the correct understanding is that the triangle cannot be right-angled and must have two angles summing to \(50^\circ\).