Question

the supplement of an angle is one third of itself find the angle and its supplement

Answer 1

Hey here is your answer

Let one angle be x
Supplement of x is (180° − x)
Given that angle x is one-third of its supplement 
Hence x = (1/3) × (180° − x)
⇒ 3x = (180° − x)
⇒ 4x = 180°
∴ x = 45°

Answer 2

Let the one angle be x and second angle be 3x. ( It is given that supplement of an angle is 1/3 of itself )

A/q,

x + 3x = 180

➡ 4x = 180,

➡ x = 180/4

➡ x = 45

So, angle are :-

➡ x = 45°

➡ 3x = 135°.