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
Let the measures of three angles of the quadrilateral be $$x^\circ,2x^\circ$$ and $$3x^\circ$$
=> 4th angle = $$(x^\circ+2x^\circ+3x^\circ)=6x^\circ$$Â
Thus, sum of all angles of a quadrilateral =Â $$x^\circ+2x^\circ+3x^\circ+6x^\circ=360^\circ$$Â
=> $$12x=360^\circ$$
=> $$x=\frac{360^\circ}{12}=30^\circ$$
$$\therefore$$ Smallest angle = $$x=30^\circ$$
=> Ans - (A)
Create a FREE account and get:
