Question

which diagram shows possible angle measures of a triangle?

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is always 180°.

Step2: Calculate the sum of angles for each option

For the first option: $35^{\circ}+25^{\circ}+115^{\circ}=175^{\circ}
eq180^{\circ}$.
For the second option: $32^{\circ}+33^{\circ}+115^{\circ}=180^{\circ}$.
For the third option: $35^{\circ}+35^{\circ}+120^{\circ}=190^{\circ}
eq180^{\circ}$.
For the fourth option: $30^{\circ}+20^{\circ}+120^{\circ}=170^{\circ}
eq180^{\circ}$.

Answer:

The second diagram (with angles 32°, 33°, and 115°) shows possible angle measures of a triangle.