Question

the angles of a quadrilateral are in the ratio 4:5:6:9 find the sum of smallest and greatest angle​

Answer 1

$\huge\mathfrak{Heya\:Mate..!}$

Ques:the angles of a quadrilateral are in the ratio 4:5:6:9 find the sum of smallest and greatest angle.

Solution:

ratio of angles= 4:5:6:9

since,the sum of all 4 angles of a quadrilateral is 360.

hence, 4:5:6:8=360

sum of smallest angles= 4x+5x

sum of the greatest angles=6x+9x

4x+5x+6x+9x=360

24x=360

x=15

_______________________

sum of smallest angles= 4x+5x

=4(15)+5(15)

=135

_______________________

sum of the greatest angles=6x+9x

=6(15)+9(15)

=225

$\huge\mathfrak{Hope\: it\:helps}$

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Answer 2

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