Question

Given the diagram, classify each angle pair as complementary, supplementary, or neither.

Answer 1

To begin, please note that

(1) Complementary angles add up to 90 degrees

(2) Supplementary angles add up to 180 degrees.

Therefore;

`\angle1\text{ and }\angle2=Complementary`
`\angle7\text{ and }\angle8=Complementary`
`\begin{gathered} \angle4\text{ and }\angle5=Supplementary \\ \angle9\text{ and }\angle10=Supplementary \\ \end{gathered}`
`\begin{gathered} \angle18\text{ and }\angle19=\text{Supplementary} \\ \angle11\text{ and }\angle17=\text{Neither} \\ \angle13\text{ and }\angle14=\text{Complementary} \\ \angle6\text{ and }\angle7=\text{Neither} \\ \angle7\text{ and }\angle8=\text{Complementary} \\ \angle9\text{ and }\angle10=\text{Supplementary} \end{gathered}`