Three angles of a quadrilateral are in the ratio 2:5:6. If the fourth angle measures 100° , find the other three angles of the quadrilateral.

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Solution

let the angle be x

2x:5x:6x and 100 degress

angle sum property =360
the sum of the angles of a quadrilateral is 360 degrees

Hence 2x+5x+6x+100 = 360

13x=260

Therefore x = 20

Hence the other angles are 40°, 100° and 120° including 100° that is given in question (in total = 360°)

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Three angles of a quadrilateral are in the ratio 2:5:6. If the fourth angle measures 100° , find the other three angles of the quadrilateral.

let the angle be x 2x:5x:6x and 100 degress angle sum property =360 the sum of the angles of a quadrilateral is 360 degrees Hence 2x+5x+6x+100 = 360 13x=260 Therefore x = 20 Hence the other angles are 40°, 100° and 120° including 100° that is given in question (in total = 360°)

let the angle be x

2x:5x:6x and 100 degress

angle sum property =360
the sum of the angles of a quadrilateral is 360 degrees

Hence 2x+5x+6x+100 = 360

13x=260

Therefore x = 20

Hence the other angles are 40°, 100° and 120° including 100° that is given in question (in total = 360°)