Question

एक चतुर्भुज के कोण 3:5:9:13 के अनुपात में है। इस चतुर्भुज के सभी कोण ज्ञात कीजिए।

Answer 1

Angles of quadrilateral are 36° , 60° , 108° , 156°

•Given, ratio of angles of

quadrilateral as 3:5:9:13

•Let first angle of quadrilateral be 3x

=>second angle of quadrilateral be

5x

=>third angle of quadrilateral be 9x

=>fourth angle of quadrilateral be

13x

•Also , sum of all angles of

quadrilateral is 360°

3x + 5x+ 9x + 13x = 360°

________(Angle sum property)

30x = 360°

x = 360/30

x = 12°

•

first angle = 3x = 3×12 = 36°

second angle = 5x = 5×12 = 60°

third angle = 9x = 9×12 = 108°

fourth angle = 13x = 13×12 = 156°

Answer 2

Answer:

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