Question

Drag and drop the descriptions in the box that correctly classifies the angle pairs.

You may use multiple responses in the boxes.

​∠AOB​ and ∠BOC ​∠AOC​ and ∠COD
The image shows two intersecting lines and a ray sharing point O resulting in 5 consecutive angles. Line A D intersects line E C at point O. Ray O B also shares point O. The 5 consecutive angles formed clockwise from the left are angle A O B, angle B O C, angle C O D, angle D O E, and angle E O A. Angle A O B is a right angle.

Answer 1

<AOB and <BOC: Adjacent
<AOC and <COD: Adjacent and supplementary

Answer 2

Part a)
`m<AOB` and
`m<BOC` are adjacent angles

Part b)
`m<AOC` and
`m<COD` are adjacent and supplementary angles

Explanation:

we know that

Two angles are Supplementary if the sum of its angles is equal to
`180\°`

Two angles are Adjacent when they have a common side and a common vertex.

case A)
`m<AOB` and
`m<BOC`

we know that

`m<AOB` and
`m<BOC` have a common side (OB) and a common vertex (point O)

therefore

They are adjacent angles

case B)
`m<AOC` and
`m<COD`

we know that

`m<AOC` and
`m<COD` have a common side (OC) and a common vertex (point O)

therefore

They are adjacent angles

and

`m<AOC+m<COD=180\°` ------> by supplementary angles

therefore

`m<AOC` and
`m<COD` are adjacent and supplementary angles