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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Step-by-step explanation:
let the angles of the quadrilateral be 2x , 5x , 6x , 100
sum of the angles of a quadrilateral is 360°
2x+5x+6x+100=360°
13x + 100= 360
13x = 360 -100
13x = 260
x= 20
2x = 2(20)= 40 5x=5(20)=100 6x=6(20)=120
Therefore three angles are 40° , 100° , 120°
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