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 a 120° angle
d) None of the above

Answer 1

Congruent angles are angles with the same degree measure. Among the choices given, the pair of angles that are congruent are both 60° angles, which is option (b).

Step-by-step explanation:

The question 'Which angles are congruent?' pertains to identifying angles that have the same measure. Congruent angles are angles that have exactly the same degree measure. Looking at the options provided:

• (a) A 30° angle and a 60° angle - This pair has different measures, so they are not congruent.
• (b) A 60° angle and a 60° angle - This pair has the same measure, therefore, these angles are congruent.
• (c) A 60° angle and a 120° angle - This pair has different measures, so they are not congruent.
• (d) None of the above - Since option b is correct, option d is incorrect.

Therefore, the correct answer is (b) A 60° angle and a 60° angle.