Question

she wants one tile to be triangular with angle measures of 25°, 25°, and 130°. do you have enough information to make karas triangle? explain. show hints no, no triangle can be made with those angle measures. yes, since exactly 1 triangle can be made, i can make karas triangle. no, i need to know how long the sides are. yes, exactly 2 triangles can be made so i dont know which is karas.

Explanation:

Step1: Check triangle angle sum

The sum of angles in a triangle should be \(180^\circ\). Calculate \(25^\circ + 25^\circ + 130^\circ\).
\(25 + 25 + 130 = 180\), so the angle sum is correct. But when only angles are given (AA - like situation, two equal angles here), triangles with these angles are similar, but their side lengths can vary. So we need side lengths to determine a unique triangle. The option "No, I need to know how long the sides are" is correct because knowing only angles (which define similarity) isn't enough to make a specific triangle (we need side - length info for congruence or to build the exact triangle).

Answer:

No, I need to know how long the sides are.