Question

which angles are congruent?
a. a 30° angle and a 60° angle
b. a 60° angle and a 60° angle
c. a 60° angle and an 120° angle
d. none of the above

Explanation:

Step1: Recall the definition of congruent angles

Congruent angles are angles that have the same measure.

Step2: Analyze each option

• Option A: \(30^{\circ}

eq60^{\circ}\), so these angles are not congruent.

• Option B: \(60^{\circ} = 60^{\circ}\), so these angles are congruent.
• Option C: \(60^{\circ}

eq120^{\circ}\), so these angles are not congruent.

Answer:

B. a \(60^{\circ}\) angle and a \(60^{\circ}\) angle