Which of the following sets of angles can form a triangle?

• A. $60°$, $70°$, $50°$
• B. $80°$, $80°$, $30°$
• C. $90°$, $60°$, $40°$
• D. $100°$, $40°$, $50°$

Answer: (A)

Verified step by step guidance

1. Recall the Triangle Angle Sum Theorem, which states that the sum of the interior angles of a triangle must be exactly \$180^\circ$.
2. For each set of angles, add the three angles together. For example, for the first set, calculate \$60^\circ + 70^\circ + 50^\circ$.
3. Check if the sum of the angles in each set equals \$180^\circ\(. If the sum is exactly \)180^\circ$, then the angles can form a triangle.
4. Also ensure that each individual angle is greater than \$0^\circ$ because an angle of zero or less is not possible in a triangle.
5. Identify which set(s) satisfy these conditions and conclude that those sets of angles can form a triangle.