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Given that AB || CD, intersected by a transversal, if the complement of ∠5 equals the supplement of ∠4, then the measures of ∠4 and ∠5 are
  • a)
    ∠4 = 105°, ∠5 = 60°
  • b)
    ∠4 = 120°, ∠5 = 80°
  • c)
    ∠4 = 45°, ∠5 = 145°
  • d)
    ∠4 = 135°, ∠5 = 45°
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Given that AB || CD, intersected by a transversal, if the complement o...
90o - ∠5 = 180o - ∠4,
And ∠4 + ∠5 = 180o (Consecutive angles on same side of transversal)
Substituting the value of ∠4 in the first equation we get
∠5 = 45o
Then ∠|4 = 135o
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Most Upvoted Answer
Given that AB || CD, intersected by a transversal, if the complement o...
Angle 5 + angle 4= 180^ --(1)

angle 5 - angle 4 = 90^ --(2)

only option 'd' follows equation (1) and (2)
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Community Answer
Given that AB || CD, intersected by a transversal, if the complement o...
Because they are corresponding angle on one line so their sum will be 180
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Given that AB || CD, intersected by a transversal, if the complement of ∠5 equals the supplement of ∠4, then the measures of ∠4 and ∠5 area)∠4 = 105°, ∠5 = 60°b)∠4 = 120°, ∠5 = 80°c)∠4 = 45°, ∠5 = 145°d)∠4 = 135°, ∠5 = 45°Correct answer is option 'D'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Given that AB || CD, intersected by a transversal, if the complement of ∠5 equals the supplement of ∠4, then the measures of ∠4 and ∠5 area)∠4 = 105°, ∠5 = 60°b)∠4 = 120°, ∠5 = 80°c)∠4 = 45°, ∠5 = 145°d)∠4 = 135°, ∠5 = 45°Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given that AB || CD, intersected by a transversal, if the complement of ∠5 equals the supplement of ∠4, then the measures of ∠4 and ∠5 area)∠4 = 105°, ∠5 = 60°b)∠4 = 120°, ∠5 = 80°c)∠4 = 45°, ∠5 = 145°d)∠4 = 135°, ∠5 = 45°Correct answer is option 'D'. Can you explain this answer?.
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