Question

two anglesvare making a linear pair.if one of them is one third of the other.find the angles

Answer 1

Clearly if the two angles are making linear pairs;
then their sum must be = 180

So let the first angle be = y°
& the second angle be = z°

y° + z° = 180°
z° = 180° - y° .............(i)eq

& if one is 1/3 of other means =

y° = 1/3 z°
z° = 3 × y°.............(ii)eq

from eq (i) and (ii)

3 × y° = 180° - y°
3 y° + y° = 180°
4y° = 180°
y° = 45°

now putting the value of y° in eq (ii)

z° = 3 × 45°
z° = 135°

;) hope it will help

Answer 2

Heya ✋

Let see your answer !!!!!

Let the one angle be x°. Then,

the other angle = (x/3)°.

according to question ,

x + x/3 = 180

=> 3x + x/3 = 180

=> 4x/3 = 180

=> x = 180 × 3/4

=> x = 135

Hence , one angle = 135°

and the other angle = (135/3)° = 45°.





Thanks :)))))