1. The angles in a triangle are in a ratio of 19 : 10 : 7. What is the sum of thrice the smallest angle and the twice the largest angle ?
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By: anil on 05 May 2019 01.22 am
Let the angles of the triangle be $$19x , 10x , 7x$$ => Sum of angles = $$19x + 10x + 7x = 180^{circ}$$ => $$36x = 180^{circ}$$ => $$x = frac{180}{36} = 5^{circ}$$ => Angles are = $$95^{circ} , 50^{circ} , 35^{circ}$$ $$ herefore$$ Sum of thrice the smallest angle and the twice the largest angle = $$(3 imes 35^{circ}) + (2 imes 95^{circ})$$ = $$105 + 190 = 295^{circ}$$
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