Consider ∆ABD such that angle ADB=20⁰ and C is a point on BD such that AB=AC and CD=CA.Then the measure of angle ABC is-
Solution
Correct Answer: Option B
এখানে ,AB=AC=CD এবং ∠ADB=20⁰
∴∠CAD=20⁰
তাহলে ,∠ACD=180⁰-(∠ADB+∠CAD)
=180⁰-(20⁰+20⁰)
=180⁰-40⁰
=140⁰
∴∠ACB=180⁰-140⁰
=40⁰
যেহেতু AC=AB
সেহেতু ∠ACB=∠ABC=40⁰
∴∠CAD=20⁰
তাহলে ,∠ACD=180⁰-(∠ADB+∠CAD)
=180⁰-(20⁰+20⁰)
=180⁰-40⁰
=140⁰
∴∠ACB=180⁰-140⁰
=40⁰
যেহেতু AC=AB
সেহেতু ∠ACB=∠ABC=40⁰
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