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Answers
Answer:
∠1=∠4=∠5=∠8
∠2=∠3=∠6=∠7
180° - ∠1 = ∠2
180° - ∠4 = ∠3
180° - ∠5 = ∠6
180° - ∠8 = ∠7
Step-by-step explanation:
∠1 = ∠4 (Vertically Opposite Angles) ------------------------(1)
Similarly,
∠2 = ∠3 (Vertically Opposite Angles)------------------------(2)
∠4 = ∠5 (Alternate Angles)---------------------------------------(3)
Similarly,
∠3 = ∠6 (Alternate Angles)---------------------------------------(4)
∠5 = ∠8 (Vertically Opposite Angles)-------------------------(5)
Again,
∠6 = ∠8 (Vertically Opposite Angles)-------------------------(6)
From (1), (3), (5)
∠1 = ∠4 = ∠5 = ∠8----------------------------------------------------(7)
From (2), (4), (6)
∠2 = ∠3 = ∠6 = ∠7----------------------------------------------------(8)
Also,
180° - ∠1 = ∠2 (Corresponding Angles)
180° - ∠4 = ∠3 (Corresponding Angles)
180° - ∠5 = ∠6 (Corresponding Angles)
180° - ∠8 = ∠7 (Corresponding Angles)
Hope it helps....