Answer:
If angle 7 (denoted as ∠7) is a supplement of angle 8 (denoted as ∠8), it means that the two angles add up to 180 degrees.
So, if m∠7 = 109°, we can find m∠8 using the equation:
m∠7 + m∠8 = 180°
Substituting the given value:
109° + m∠8 = 180°
Now, let's solve for m∠8:
m∠8 = 180° - 109°
m∠8 = 71°
Therefore, m∠8 is equal to 71 degrees.