Question

find the valve of x in the following figures ​

Answer 1

From figure (i)

(3x+18)°+93°=180°....... (supplementary)

3x°+18°+93°=180°

3x°+111°=180°

3x°=180°-111°

3x°=69°

x=69/3

x=23

From figure (ii) (x-24)°+29°+296°=360°....... (circle)

x°-24°+325°=360°

x°+301°=360°

x=360-301

x=59

From figure (iii)

(2+3x)°=62°.....(opposite angles)

2°+3x=62°

3x°=62°-2°

3x°=60°

x=60/3

x=20

From figure (iv) 40°+(6x+2)°=90°........ (Given) 40°+6x°+2°=90°

42°+6x°=90°

6x°=90°-42°

6x°=48°

x=48/6

x=8