Answered

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Answer:

∠1 = 121°, ∠2 = 59°, ∠3 = 121°, ∠4 = 121°, ∠5 = 59°, ∠6 = 121° and m∠7 = 59°


Step-by-step 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°
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