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[NCERT EXEMLparts is 4623.s of a triangle are in AP. The greatest angle is twice the least. FindINCERT EXEMPLangles. |
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Answer» Let a - d, a, a + d be the three angles of the triangle that form AP.Given thatthe greatest angle is twice the least.Now, 2(a - d) = a + d2a - 2d = a + da = 3d ---------------(1)Now by angle sum property,(a - d) + a + (a + d) = 180°3a = 180°a = 60°----------------------(2)from (1) and (2),3d = 60°d = 20°Now, the angles are,a - d = 60°- 20° = 40°a = 60°a + d = 60° + 20° = 80° |
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