Answer: The angles are
100° and
80°. Given : The angles are Supplementary
One angle is [tex]4/5[/tex] of other
To find : The two angles
Solution :
Let the angles be [tex]x[/tex]
So, Second the angle [tex]y[/tex] is [tex]4x/ 5[/tex]
Now, the sum of Supplementary angles is 180°.
∵ [tex]x+y=180\\\\[/tex]
[tex]x + (4x/5) = 180\\(5x + 4x)/5 = 180\\9x/5 = 180\\ 9x=180 * 5[/tex]
[tex]9x = 900\\ x = 900/9\\x = 100\\\\now , x +y=180 \\[/tex]
[tex]100+ y = 180\\y=180-100\\y=80[/tex]
So, angles are 100 and 80