Answer:
89
91
Explanation:
Supplementary means the pair of angles that have this relationship add up to 180 degrees.
If you assume n is odd, then the very next odd number is n+2.
Example 5 is odd and the next odd number after 5 is 7. This fits the pattern of n and n+2 when n=5.
So we are given the degree measurement of an angle and it's supplement are consecutive odd integers.
So let's pretend the supplement of A is B. This means A+B=180.
We are also given A and B are consecutive odd integers, so this means we are going to let A=n and B=n+2.
Let's put this into our equation for A+B=180:
(n)+(n+2)=180
n + n+2 =180
2n +2 =180
Subtract 2 on both sides:
2n =178
Divide both sides by 2:
n =178/2
Simplify right hand side:
n =89
If n=89, then n+2=89+2=91.
Does 89+91=180? Yep.
Are 89 and 91 consecutive odd numbers? Yep.
Here are some consecutive numbers including those: 89,90,91
Yes 91 is the next odd number after 89.