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

Answer:

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

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

Step-by-step 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