Question

. Write the supplement of:
(i) 100°
(iv) (x + 35)
(vii) 1/5 of an angle
(ii) 0°
(v) (90 + a + b)°
(viii) 80° 49' 25"
(iii) x°
(vi) (110 – x – 2y)°​

Answer 1

Answer:

(i)180-100=80

(ii)x+5=180

x=175

(iii)1/5×180

36

(iv)180

(v)a+b = 80

(vi) 26

(vii)180

( viii)110-x-2y = 180

-x-2y =70

Answer 2

Answer:

Supplementary angles are those angles whose sum is 180°. When intersection of two or more angles form straight angle (180°), it is supplementary angle.

Let the supplementary angle be 'x'.

(i) 100° + x = 180°

x = 180° - 100°

x = 80°

(ii) 0° + x = 180°

x = 180° - 0°

x = 180°

(iii) x° + x = 180°

2x = 180°

x = 180°/2

x = 90°

(iv) (x + 35)° + x = 180°

x° + 35° + x = 180°

2x + 35° = 180°

2x = 180° - 35°

2x = 145°

x = 145° / 2

x = 72.5°

(v)