Question
Download Solution PDFIn a ∆ABC, the internal bisectors of the angle B and the angle C intersect at an angle of 105°. What is the value of the angle A?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The internal bisectors of angle B and angle C intersect at an angle of 105°
Formula Used:
In an △ABC, if internal bisectors of angles B and C are joined at D, then
⇒ ∠BDC = 90° + ∠BAC/2
Calculation:
∠BOC = 105°
Internal bisectors of angles B and C are joined at O
∠BDC = 90° + ∠BAC/2
⇒ 105° = 90° + ∠BAC/2
⇒ 105° - 90° = ∠BAC/2
⇒ 15° = ∠BAC/2
⇒ ∠BAC = 30°
∴ The value of angle A is 30°.
Last updated on Jun 13, 2025
-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.
-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> Candidates should also use the SSC CGL previous year papers for a good revision.