If the measure of A is 81°, and the measure of B is 9°, then A and B are ______.Question 58Select one:a.supplementaryb.complementaryc.verticald.congruent

Break Down the Problem

1. Identify the relationship between angles A and B based on their measures.
2. Determine the definitions of supplementary, complementary, vertical, and congruent angles.

Relevant Concepts

1. Supplementary Angles: Two angles that add up to 180°.
2. Complementary Angles: Two angles that add up to 90°.
3. Vertical Angles: Angles opposite each other when two lines cross; they are always equal.
4. Congruent Angles: Angles that have the same measure.

Analysis and Detail

1. Calculate the sum of angles A and B: $A + B = 81° + 9° = 90°$
2. Since the sum of A and B is 90°, they are classified as complementary angles.

Verify and Summarize

• The sum of A and B is confirmed as 90°.
• Thus, A and B are complementary angles.

Final Answer

b. complementary