Question

In the figure, AB and CD are two straight lines intersecting at O. Then, the value of x is

………….​

Answer 1

Answer:

x=43°

Step-by-step explanation:

angle AOD= 180°- 40° (linear pair)

= 140°

therefore, angle AOD= 140°

angle AOC= 180°- 140° (linear pair)

= 40°

angle AOC= 40°

40°+ 140°+ 3x+7° + x+5°= 360° (sum of all angles at a point)

=> 3x+7°+ x+5°= 360°-180°

=> 3x+x= 360°-180°-12°

=> 4x= 172°

therefore,

x= 172/4= 43°

thus angles are,

1. 3x+7°= 3(43)+7=135°
2. x+5°= (43)+5= 49°
3. 40°
4. 140°
5. 40°

HOPE IT HELPS