Question

In which diagram are angles 1 and angles 2 supplementary?BCAD

Answer 1

Step 1

The supplementary angles refer to the pair of two angles whose sum is equal to 180 degrees.

Step 2

Consider the options

`A)\text{ angle 1 = angle 2 (vertically opposite angles )not supplementary}`
`B)\text{ angle 1 + angle 2 }=90^o(Complementary\text{ angles) not supplementary}`
`C)\text{ angle 1 = angle 2 ( Vertically opposite angles) not supplementary}`
`\begin{gathered} D)\text{ angle 1 + angle 2 = 180( sum of angles on a straight line)} \\ In\text{ option D, angles 1 and 2 are therefore supplementary} \end{gathered}`

Therefore, the right answer is option D.