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In an isosceles triangle AB = AC. Side AB is extended to P such that ∠CAP = 108°. The measure of  ∠ABC is:
  • a)
    30°
  • b)
    126°
  • c)
    108°
  • d)
    54°
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In an isosceles triangle AB = AC. Side AB is extended to P such that &...

∵ AB = AC
∴ ∠ABC = ∠ACB
∵ ∠CAP is an exterior angle for DABC,
∵ ∠CAP = ∠ABC + ∠ACB [using (i)]
⇒ 108° = 2∠ABC
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In an isosceles triangle AB = AC. Side AB is extended to P such that ∠CAP = 108°. The measure of ∠ABC is:a)30°b)126°c)108°d)54°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 In an isosceles triangle AB = AC. Side AB is extended to P such that ∠CAP = 108°. The measure of ∠ABC is:a)30°b)126°c)108°d)54°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 In an isosceles triangle AB = AC. Side AB is extended to P such that ∠CAP = 108°. The measure of ∠ABC is:a)30°b)126°c)108°d)54°Correct answer is option 'D'. Can you explain this answer?.
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