Which of the following statements is true about the angles? Select all that apply.< a and <c are congruent.<c and <b are complementary <b and <c are supplementary <a and <c are complementary<a and <b are supplementary​

Mathematics · High School · Thu Feb 04 2021

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To determine which of the statements are true, we need to understand the relationships between the angles. Unfortunately, without a diagram or additional context to define the position and relationship of angles a, b, and c, I cannot definitively answer which statements are true. However, I can explain what congruent, complementary, and supplementary angles are, so you can apply these definitions to specific situations.

1. <a and <c are congruent: Congruent angles are angles that have exactly the same measure. If angles a and c have the same angle measure, then this statement is true.

2. <c and <b are complementary: Complementary angles are two angles whose measures add up to 90 degrees. If the sum of the measures of angles c and b is 90 degrees, then this statement is true.

3. <b and <c are supplementary: Supplementary angles are two angles whose measures add up to 180 degrees. If the sum of the measures of angles b and c is 180 degrees, then this statement is true.

4. <a and <c are complementary: This statement asserts that angles a and c add up to 90 degrees, making them complementary. If that's accurate for angles a and c, then the statement is true.

5. <a and <b are supplementary: This statement indicates that angles a and b add up to 180 degrees, making them supplementary. If this is the case for angles a and b, then the statement is true.