Definitions of Supplementary Angles and Linear Pair
Which of the following angles are supplementary to ∠ADB?
Indicate **all** such angles.
Incorrect.
[[snippet]]
These angles are congruent, not supplementary.
Correct!
[[snippet]]
∠_ADB_ and ∠_BDE_ form a linear pair. Therefore, they are supplementary angles.
Correct!
[[snippet]]
Since ∠_ADB_ measures 45º, any angle that measures 180º - 45º = 135º will be supplementary to it. Thus, ∠_ADB_ is supplementary to ∠_DBC_.
Correct.
Since ∠ADB + ∠BDE = 180°, ∠ADB and ∠BDE are supplementary angles.
Similarly, since ∠ADB + ∠DBC = 180°, ∠ADB and ∠DBC are supplementary angles.
However, because ∠ADB + ∠ABD = 90°, which is not 180°, ∠ADB and ∠ABD are not supplementary angles.
Incorrect.
Compare the degree measurements of these three angles. They're not all equal, so, when added to ∠ADB, not all of them can result in a sum of 180°.
∠_ABD_
∠_BDE_
∠_DBC_
Proceed to step
