The angels of a quadrilateral are in the ration 1:2:3:4. Find the measure of each angle.

36o,72o,108o,144o


Let x be the common multiple.


As per question,


A = x


B = 2x


C = 3x


D = 4x


As we know that, Sum of all four angles of quadrilateral is 360o.


A + B + C + D = 360°


x + 2x + 3x + 4x = 360°


10x = 360°


X= 360/10


= 36°


A = 1 X 36° = 36°


B = 2 X 36° = 72°


C = 3 X 36° = 108°


D = 4 X 36° = 144°


So, Angles of quadrilateral are 36°, 72°, 108° and 144°.


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