Angles of the quardrilateral are (x-18°),(x+12°),(2x+13°) and (3x+10°).find all angles as well as value of x.
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1st angle =(x-18)°
2nd angle =(x+12)°
3rd angle =(2x+13)°
4th angle =(3x+10)°
A/Q
(x-18)°+(x+12)°+(2x+13)°+(x+10)° =360 °
[The sum of angle of a quadrilateral =360]
x°-18°+x°+12°+2x°+13°+3x°+10°=360°
7x°+17 =360°
7x=360°-17°
7x= 343°
x=343°/7
x= 49°
Now 1st angle = 49°-18°=31°
2nd angle =49°+12= 61°
3rd angle =2*49°+13°
= 98+13= 111°
4th angle =3*49°+10°
= 147° +10°=157°
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