Q. 54.6( 22 Votes )

The angles of a q

Answer :

Let x be the common multiple.


As per question,


A = 3x


B = 5x


C = 7x


D = 9x


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


A + B + C + D = 360°


3x + 5x + 7x + 9x = 360°


24x = 360°


X = 360/24


= 15°


A = 3 × 15° = 45°


B = 5 × 15° = 75°


C = 7 × 15° = 105°


D = 9 × 15° = 135°


So, Angles of quadrilateral are 45°, 75°, 105° and 135°.


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