Question

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

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). We will check each option by adding the three angles.

Step2: Check Option 1

Angles: \(115^\circ\), \(35^\circ\), \(25^\circ\).
Sum: \(115 + 35 + 25 = 175^\circ
eq180^\circ\).

Step3: Check Option 2

Angles: \(115^\circ\), \(32^\circ\), \(33^\circ\).
Sum: \(115 + 32 + 33 = 180^\circ\).

Step4: Check Option 3 (for completeness)

Angles: \(120^\circ\), \(35^\circ\), \(35^\circ\).
Sum: \(120 + 35 + 35 = 190^\circ
eq180^\circ\).

Step5: Check Option 4 (for completeness)

Angles: \(120^\circ\), \(30^\circ\), \(29^\circ\).
Sum: \(120 + 30 + 29 = 179^\circ
eq180^\circ\).

Answer:

The diagram with angles \(115^\circ\), \(32^\circ\), \(33^\circ\) (the second option)