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In the given figure AB ∥ CD and EF is transversal. If ∠1 and ∠2 are in the ratio 5:7 what is the measure of ∠8?
  • a)
    75°
  • b)
    105°
  • c)
    85°
  • d)
    115°
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In the given figure AB∥CD and EF is transversal. If ∠1 and &...
5x + 7x = 180°
⇒ 12x = 180° ⇒
∠1 = 5x = 5×15 = 75°
∠2 = 7x = 7×15 = 105°
∠1 = ∠5 = 75°
∠8 = 180° – 75° = 105°
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In the given figure AB∥CD and EF is transversal. If ∠1 and ∠2 are in the ratio 5:7 what is the measure of ∠8?a)75°b)105°c)85°d)115°Correct answer is option 'B'. Can you explain this answer?
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