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Please solve the math question

$Please\quad tell\quad me\quad the\quad solution\quad of\quad the\quad \\ following\quad question:\\ \\ In\quad \triangle ABC,\quad D\quad is\quad the\quad midpoint\quad of\quad \\ side\quad BC.\quad \angle ACB\quad =\quad { 30 }^{ \circ }.\quad \angle ADB\quad =\quad 45\\ Find\quad \angle BAD.\quad$ I know how to solve it using trigo. But tell me a different method. P.S it's an eighth class question.

Note by Rajdeep Dhingra
2 years ago

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DO YOU WANT FULL SOLUTION OR JUST HINT , IF HINT , THEN TRY BY CONSTRUCTION. · 2 years ago

FULL SOLUTION · 2 years ago

What's your answer, is it 120 ? · 2 years ago

No,it's 30. · 2 years ago

Your answer is correct · 2 years ago

I believe that this is an NMTC problem. You can view the solution discusssion in this problem. One approach just uses sine rule, while another approach gets more creative. Staff · 2 years ago