Final answer:
The relationship between two angles both measuring 30° is that they are congruent angles, meaning they have the same angle measure.
Step-by-step explanation:
The relationship between ∠1 and ∠2 when m∠1=30° and m∠2=30° is that they are congruent angles. This means that the two angles are equal in measure. In this case, both angles are 30°.
Options for angle relationships include:
- Supplementary angles: Two angles that add up to 180°.
- Complementary angles: Two angles that add up to 90°.
- Congruent angles: Angles that have the same measure.
- Vertical angles: Angles that are opposite each other when two lines intersect, creating equal angles.
Since both angles are equal, the correct answer is c) Congruent angles.
The measure of the angle is often given in degrees. Congruent: Two angles are called congruent angles if they have the exact same measure. It does not matter if the angles are facing different directions or if the rays forming the angles are different lengths - all that matters is the measure of the angles in degrees.