Answer:
The angles are 155° and 25°.
Step-by-step explanation:
Given:
Two supplementary angles are in the ratio of 31:5.
Now, to find the angles.
The sum of two supplementary angles = 180°
Let the ratio of the angles be [tex]31x\ and\ 5x[/tex].
So, according to question:
[tex]31x+5x=180\°[/tex]
[tex]36x=180\°[/tex]
Dividing both sides by 36 we get:
[tex]x=5[/tex]
So, [tex]31x=31\times 5=155\°.[/tex]
And, [tex]5x=5\times 5=25\°.[/tex]
Therefore, the angles are 155° and 25°.
