3.2.1 Study: Parallel Lines and Angle Relationships
Check Your Understanding- Question 2 of 2
Select all of the true statements.
Attempt
A. Supplementary angles are angles whose measures add up to 180°.
B. Adjacent angles that form a line are supplementary.
C. Supplementary angles are always congruent.
D. Supplementary angles are always opposite each other.
E. Supplementary angles are angles whose measures add up to 90°.
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Answer :

In the context of parallel lines and angle relationships, let's evaluate each statement: A. True. Supplementary angles are angles whose measures add up to 180°. For example, if one angle measures 120°, the other angle would need to measure 60° to be supplementary. B. True. Adjacent angles that form a line are supplementary. When two adjacent angles form a straight line, their measures add up to 180°. C. False. Supplementary angles are not always congruent. Congruent angles have the same measure, while supplementary angles only add up to 180°. D. False. Supplementary angles are not always opposite each other. They can be adjacent angles that form a straight line, not necessarily opposite each other. E. False. Supplementary angles are angles whose measures add up to 180°, not 90°. If angles add up to 90°, they are known as complementary angles. Therefore, the true statements from the options provided are A and B.