Answer:
25.5 degrees
Step-by-step explanation:
Let the first angle be x degrees, and second angle be y degrees.
Condition # 1:
x = 5y - 13 --------------------(1)
Condition # 2:
x + y = 140 -------------------(2)
Put Eq. (1) in (2)
5y - 13 + y = 140
5y + y - 13 = 140
6y - 13 = 140
Add 13 to both sides
6y = 140 + 13
6y = 153
Divide both sides by 6
y = 25.5 degrees
Now, put the value of y in Eq. (1)
x = 5(25.5) - 13
x = 127.5 - 13
x = 114.5 degrees
So, the measure of smaller angle is:
= 25.5 degrees
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
