Question

Angles of the quardrilateral are (x-18°),(x+12°),(2x+13°) and (3x+10°).find all angles as well as value of x.​

Answer 1

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°