Question

Please help with this geometry math problem!

Answer 1

Answer:

∠8 * 4 = ∠7 ----------------(1)

∠8 + ∠7 = 180 ------------(2)

Taking the value of ∠7 from (1) and using it in (2):

∠7 = 4 * ∠8

∠8 + ∠7 = 180

∠8 + (4 * ∠8) = 180

∠8 + 4∠8 = 180

5∠8 = 180

∠8 = 36° ---------------(3)

Using the value of ∠8 from (3) in (2):

∠8 + ∠7 = 180

36 + ∠7 = 180

∠7 = 144°       and       ∠8 = 36°