Name the angle that is supplementary to COB
A. AOF
B. COD
C. BOF
D. DOC
To identify the angle that is supplementary to COB, we need to understand the concept of supplementary angles. Supplementary angles are pairs of angles that add up to 180 degrees.
In this case, COB is one angle. To find the angle that is supplementary (adds up to 180 degrees) to COB, we need to look for the other angle that, when added to COB, equals 180 degrees.
Let's examine each option:
A. AOF: This angle is not given in the information and does not appear to be directly related to COB.
B. COD: This angle shares the letter O with COB. If we consider COB and COD together, we notice they form a straight line with O as the common vertex. Since a straight line measures 180 degrees, COD is supplementary to COB.
C. BOF: This angle is not given in the information and does not seem to be directly related to COB.
D. DOC: This angle shares the letter O with COB. Similar to option B, if we consider COB and DOC together, they form a straight line with O as the common vertex. Thus, DOC is also supplementary to COB.
Therefore, both options B (COD) and D (DOC) are angles that are supplementary to COB.
To find the angle that is supplementary to angle COB, we need to find the angle that, when added to angle COB, results in a sum of 180 degrees.
The angles that are complementary to COB are the angles that, when added together, equal 180 degrees.
Now, let's look at the given options:
A. AOF
B. COD
C. BOF
D. DOC
From the options provided, option D. DOC is the angle that is supplementary to COB.