Subject
Bank Exam
Topic
Probashi Kallyan Bank Ltd (Senior Officer) - 09.10.2021
In triangle ∆ABC ,if AB=BC and ∠B=70⁰ ,∠A will be :
In triangle ∆ABC ,if AB=BC and ∠B=70⁰ ,∠A will be :
ক)
70⁰খ)
10⁰গ)
55⁰ঘ)
130⁰Explanation
যেহেতু, Ab =BC তাই ত্রিভুজ সমদ্বিবাহু । আমরা জানি, সমদ্বিবাহু ত্রিভুজের সন্নিহিত কোণদ্বয় সমান হয় অর্থাৎ ∠A=∠C হবে । এখন, ত্রিভুজের তিনকোণের সমষ্টিকে 180⁰ বলে ∠A+∠B+∠C=180⁰ বা,∠A+70⁰+∠A=180⁰ বা,2∠A =180⁰-70⁰=110⁰ ∴∠A =110⁰/2=55⁰Related questions
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