For the figure below, give the following. (a) one pair of angles that form a linear pair (b) one pair of vertical angles (c) one pair of angles that are supplementary

Question

UpStudy AI · Accepted Answer

**(a) Linear Pair**  
Assume two intersecting lines form four angles at point $$O$$. Label the angles as $$\angle AOB$$, $$\angle BOC$$, $$\angle COD$$, and $$\angle DOA$$ consecutively.  
A linear pair is formed by two adjacent angles whose non‐common sides form a straight line. For example,  
$$
\angle AOB \text{ and } \angle BOC
$$  
form a linear pair.

**(b) Vertical Angles**  
Vertical angles are the non-adjacent angles formed when two lines intersect. In this configuration,  
$$
\angle AOB \text{ and } \angle COD
$$  
are vertical angles.

**(c) Supplementary Angles**  
Supplementary angles are any two angles whose measures add up to $$180^\circ$$. A linear pair is always supplementary. Therefore, the pair  
$$
\angle AOB \text{ and } \angle BOC
$$  
is supplementary since they form a linear pair, or alternatively,  
$$
\angle BOC \text{ and } \angle COD
$$  
is another example of supplementary angles.
**(a) Linear Pair** Angles $$\angle AOB$$ and $$\angle BOC$$ form a linear pair. **(b) Vertical Angles** Angles $$\angle AOB$$ and $$\angle COD$$ are vertical angles. **(c) Supplementary Angles** Angles $$\angle AOB$$ and $$\angle BOC$$ are supplementary.

For the figure below, give the following. (a) one pair of angles that form a linear pair (b) one pair of vertical angles (c) one pair of angles that are supplementary

Upstudy AI Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Geometry Questions