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: Check each option

For the first option: \(118^{\circ}+36^{\circ}+26^{\circ}=180^{\circ}\).
For the second option: \(118^{\circ}+32^{\circ}+32^{\circ}=182^{\circ}
eq180^{\circ}\).
For the third option: \(120^{\circ}+36^{\circ}+36^{\circ}=192^{\circ}
eq180^{\circ}\).
For the fourth option: \(120^{\circ}+28^{\circ}+28^{\circ}=176^{\circ}
eq180^{\circ}\).

Answer:

The first diagram (with angles \(118^{\circ},36^{\circ},26^{\circ}\)) shows possible angle measures of a triangle.