Question

The angles of a quadrilateral are in the ratio 11: 18:21:22 . Find all the angle of the quadrilateral.​

Answer 1

Answer:

55, 90, 105 and 110

Step-by-step explanation:

$let \: the \: angles \: of \: the \: quadrilateral \: be \: 11x \: 18x \: 21x \: 22x \\ as \: all \: the \: sum \: of \: angles \: of \: a \: quadrilateral \: is \: 360 \\ \\ 11x + 18x + 21x + 22x = 360 \\ 72x = 360 \\ x = \frac{360}{72} \\ x = 5$

$therefore \: the \: angles \: of \: a \: quadrilateral \: are \: 55 \: 90 \: 105 \: and \: 110$

Answer 2

Step-by-step explanation:

the angles are 360×11/11+18+21+22=360×11/72=55°

=360×18/72=90°

=360×21/72=105°

=360×22/72=110

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