Question

which diagram shows possible angle measures of a triangle?

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is $180^{\circ}$.

Step2: Check first option

$35^{\circ}+25^{\circ}+115^{\circ}=175^{\circ}
eq180^{\circ}$.

Step3: Check second option

$32^{\circ}+33^{\circ}+115^{\circ}=180^{\circ}$.

Step4: Check third option

$35^{\circ}+35^{\circ}+120^{\circ}=190^{\circ}
eq180^{\circ}$.

Step5: Check fourth option

$30^{\circ}+20^{\circ}+120^{\circ}=170^{\circ}
eq180^{\circ}$.

Answer:

The diagram with angle measures $32^{\circ}$, $33^{\circ}$, and $115^{\circ}$ shows possible angle measures of a triangle.