Question

which set of angle measures could be in the same triangle? 90°, 45°, 30° 90°, 50°, 40° 50°, 40°, 30° 120°, 90°, 30°

Explanation:

Step1: Recall triangle - angle sum property

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

Step2: Check each option

• Option 1: $90^{\circ}+45^{\circ}+30^{\circ}=165^{\circ}

eq180^{\circ}$

• Option 2: $90^{\circ}+50^{\circ}+40^{\circ}=180^{\circ}$
• Option 3: $50^{\circ}+40^{\circ}+30^{\circ}=120^{\circ}

eq180^{\circ}$

• Option 4: $120^{\circ}+90^{\circ}+30^{\circ}=240^{\circ}

eq180^{\circ}$

Answer:

$90^{\circ},50^{\circ},40^{\circ}$