Are the two indicated angles adjacent? Why or why not?

Question

aob is 40*
cod is 50*
boc is ?
Angle Pairs Unit Test

Answer 1

To determine if the two indicated angles are adjacent, we need to know the positions of the angles and their common side.

Without a diagram, it's difficult to determine the positions of the angles. However, if we assume that aob and cod are adjacent angles, then their common side would be the line segment oc.

In this case, angle boc would be the sum of aob and cod:

boc = aob + cod
boc = 40 + 50
boc = 90

Therefore, if aob and cod are adjacent angles, then boc would be 90 degrees.

However, if aob and cod are not adjacent angles, then we cannot determine the measure of boc without additional information.

Answer 2

No, they are not adjacent, they do not share a common ray.