Question

Find two supplementary angles such that one of them is three times the other

Answer 1

Answer:

45

Step-by-step explanation:

3x+x=180

4x=180

X=180\4

X=45

Answer 2

Answer:

$45^o\ and\ 135^o$

Step-by-step explanation:

Let's consider the first angle is x and the second angle is y.

But according to question second angle is three times of first angle, so

y = 3x ....(1)

Supplementary angles are those angles whose sum is 180

So,

x + y =$180^o$ ...(2)

from eq.(1) and eq.(2), we get

=> x + 3x =$180^o$

=> 4x =$180^o$

=> x=$45^o$

Now, from eq.(2)

y =$180^o$- x

=> y=$180^o$- 45

=> y=$135^o$

So, the two supplementary angles will be $45^o\ and\ 135^o$.