Answer:
Therefore the two supplementary angles are 40° and 140°.
Step-by-step explanation:
Given:
Let the measure of one angle of supplementary be 'x'
Then according to the given condition the other angle will be '3.5x'
To Find:
x = ?
3.5x = ?
Solution:
Supplementary angles:
Supplementary angles are those angles whose sum is 180°
We have two angles 'x' and '3.5x'
∴ [tex]x+3.5x=180\\\\4.5x=180\\\\x=\frac{180}{4.5} \\\\\therefore x =40\°[/tex]
one angle is 40°
Another angle will be
[tex]3.5x= 3.5\times40\\\\3.5x=140\°[/tex]
Therefore the two supplementary angles are 40° and 140°.