Question

which diagram shows possible angle measures of a triangle?
115°
36° 25°
115°
32° 33°
120°
35° 35°
120°
30° 20°

Explanation:

Step1: Recall the angle - sum property of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Calculate the sum of angles for each option

• For the first option: \(115^{\circ}+36^{\circ}+25^{\circ}=176^{\circ}

eq180^{\circ}\)

• For the second option: \(115^{\circ}+32^{\circ}+33^{\circ}=180^{\circ}\)
• For the third option: \(120^{\circ}+35^{\circ}+35^{\circ}=190^{\circ}

eq180^{\circ}\)

• For the fourth option: \(120^{\circ}+30^{\circ}+20^{\circ}=170^{\circ}

eq180^{\circ}\)

Answer:

The second diagram (with angles \(115^{\circ},32^{\circ},33^{\circ}\)) shows possible angle measures of a triangle.