Question

problem 7: spiral review which of these sets of angle measures could be the three interior angle measures of a triangle? 40°,50°,60° 50°,60°,70° 60°,70°,80° 70°,80°,90°

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is always 180°.

Step2: Calculate sum for first set

For the set \(40^{\circ},50^{\circ},60^{\circ}\), the sum is \(40 + 50+60=150^{\circ}
eq180^{\circ}\).

Step3: Calculate sum for second set

For the set \(50^{\circ},60^{\circ},70^{\circ}\), the sum is \(50 + 60+70 = 180^{\circ}\).

Step4: Calculate sum for third set

For the set \(60^{\circ},70^{\circ},80^{\circ}\), the sum is \(60+70 + 80=210^{\circ}
eq180^{\circ}\).

Step5: Calculate sum for fourth set

For the set \(70^{\circ},80^{\circ},90^{\circ}\), the sum is \(70+80 + 90=240^{\circ}
eq180^{\circ}\).

Answer:

\(50^{\circ},60^{\circ},70^{\circ}\)