Question

find the value of x in each of the following figures​

Answer 1

Answer:

i) 18°  ii)75° iii) 150°

Step-by-step explanation:

i) x + 2x + 3x + 4x = 180° (Reason - Sum of angles on a straight line is 180°)

 or, 10x = 180

 or, x = 18

Therefore, x = 18°

ii) x  + 105° = 180° (Reason - Linear pair)

  or,  x = 180 - 105 = 75

Therefore, x = 75°

iii) x + 90° + 120° = 360° (Reason - It is a complete angle)

    or, x = 360° - 210° = 150°