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$.