Question

which statement is true about two angles that are complementary?

the angles share a common ray.
the sum of the measures of the two angles is 90°.
the angles are opposite each other.
the sum of the measures of the two angles is 180°.

Explanation:

Define complementary angles

Complementary angles are defined as two angles whose measures add up to \(90^\circ\).

Evaluate the given options

• "The angles share a common ray": This describes adjacent angles, which is not a requirement for complementary angles.
• "The sum of the measures of the two angles is \(90^\circ\)": This matches the definition of complementary angles.
• "The angles are opposite each other": This describes vertical angles.
• "The sum of the measures of the two angles is \(180^\circ\)": This describes supplementary angles.

Answer:

• The angles share a common ray.
• The sum of the measures of the two angles is 90°. (Correct answer)
• The angles are opposite each other.
• The sum of the measures of the two angles is 180°.