Q4 of 23 Page 178

The four angles of a quadrilateral are in the ratio 1: 2:3:4. Find the measure of each angle of the quadrilateral.


Given . Angles of a quadrilateral are in the ratio 1: 2:3:4


Solution .


Let any quadrilateral be ABCD


Then


Sum of all angles of quadrilateral is 360°


∴ ∠ A + ∠ B + ∠ C + ∠ D=360°


If angle A,B,C,D are in ratio 1:2:3:4


Then,


1x + 2x + 3x + 4x =360°


10x=360°


x=


x= 36°


all angles are 1x,2x,3x,4x


Conclusion.


∴ Angles are 36° , 72° , 108° , 144°


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