Question

∠7 is a supplement of ∠8 , and m∠7=109° . Find m∠8 .

Answer 1

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.