1. The measures of three angles of a quadrilateral are in the ratio 1 : 2 : 3 . If the sum of these three measures of the fourth angle, find the smallest angle
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By: anil on 05 May 2019 02.27 am
Let the measures of three angles of the quadrilateral be $$x^circ,2x^circ$$ and $$3x^circ$$ => 4th angle = $$(x^circ+2x^circ+3x^circ)=6x^circ$$ Thus, sum of all angles of a quadrilateral = $$x^circ+2x^circ+3x^circ+6x^circ=360^circ$$ => $$12x=360^circ$$ => $$x=frac{360^circ}{12}=30^circ$$ $$ herefore$$ Smallest angle = $$x=30^circ$$ => Ans - (A)
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