The angle relationship is a linear pair, x = 104 degrees, and the missing angle is 108 degrees.
To determine the value of x and identify the missing angles, let's analyze the given angle relationship:
72°
(x+4)°
We can observe that the two angles share a common side, forming a linear pair. This means that the sum of their angles equals 180 degrees.
Therefore, we can set up an equation to represent this relationship:
72° + (x+4)° = 180°
Now, let's solve for x:
72 + x + 4 = 180
76 + x = 180
x = 180 - 76
x = 104
Since x = 104, we can substitute this value back into the original equation to find the missing angle:
72° + (104+4)° = 180°
72 + 108 = 180
180 = 180
Therefore, the missing angle is 108 degrees.
To summarize, the angle relationship is a linear pair, x = 104 degrees, and the missing angle is 108 degrees.