Question

which diagram shows possible angle measures of a triangle? 116° 35° 25° 115° 32° 33° 120° 35° 36° 120° 10° 20°

Explanation:

Step1: Recall the triangle angle - sum property

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

Step2: Check the first option

For angles \(116^{\circ},35^{\circ},25^{\circ}\), the sum is \(116 + 35+25=176^{\circ}
eq180^{\circ}\).

Step3: Check the second option

For angles \(115^{\circ},32^{\circ},33^{\circ}\), the sum is \(115 + 32+33 = 180^{\circ}\).

Step4: Check the third option

For angles \(120^{\circ},35^{\circ},36^{\circ}\), the sum is \(120+35 + 36=191^{\circ}
eq180^{\circ}\).

Step5: Check the fourth option

For angles \(120^{\circ},10^{\circ},20^{\circ}\), the sum is \(120 + 10+20=150^{\circ}
eq180^{\circ}\).

Answer:

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