Question

The angles of a quadrilateral are in AP whose common difference is 20. Find the angles​

Answer 1

Answer:

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Given,

the angles of a quadrilateral are in A.P, whose common difference d=10

0

let the first angle of the quadrilateral be a......eq(1)

hence second angle must be a+10

0

….eq(2)

similarly,

third angle is a+10

0

+10

0

=a+20

0

….eq(3)

fourth angle is a+30

0

…...eq(4)

now, we know that sum of all the angles of a quadrilateral must be 360

0

hence

Answer 2

Answer:

Given,

the angles of a quadrilateral are in A.P, whose common difference d=10

0

let the first angle of the quadrilateral be a......eq(1)

hence second angle must be a+10

0

….eq(2)

similarly,

third angle is a+10

0

+10

0

=a+20

0

….eq(3)

fourth angle is a+30

0

…...eq(4)

now, we know that sum of all the angles of a quadrilateral must be 360

0

hence