Question

if a and b are supplementary angles and a:b = 1:4 find the value of a​

Answer 1

Answer:

$36^0$

Step-by-step explanation:

Sum of supplementary angles $=180^0$.

If a and b are supplementary, $a+b=180^0$.

Let:

$a=1x$

$b=4x$

$1x+4x=180$

$5x=180$

$x=36$

Answer 2

Answer:

Step-by-step explanation:

Given,

a + b = 180° ( supplementary angles)                   ...... (1)

Also,

a/b = 1/4

⇒ b = 4a                         ...... (2)

Substitute (2) in (1),

a + 4a = 180°

5a = 180°

a = 36°

Thus, the required value of a is 36°