Answer:
∠1 = 121°, ∠2 = 59°, ∠3 = 121°, ∠4 = 121°, ∠5 = 59°, ∠6 = 121° and m∠7 = 59°
Explanation:
Suppose m∠8 = 59° (given angle)
Since m∠8 = 59°, m∠5 = 59° (Corresponding Angles)
Again, m∠8 = 59° so therefore, m∠2 = 59° (Alternative interior Angles)
Next since m∠2 = 59°, m∠7 is also 59° (Corresponding Angles)
Then since m∠8 = 59°, m∠7 = 59° (Alternative Exterior Angles)
Finally since m∠8 = 59° and m∠2 = 59°, therefore, m∠2 = m∠5 (Alternative Interior Angles)
…
Thus, ∠1 = 121°, ∠2 = 59°, ∠3 = 121°, ∠4 = 121°, ∠5 = 59°, ∠6 = 121° and m∠7 = 59°