To solve this problem you must apply the proccedure shown below:
1. By definition, you can calculate an oodd number by using the following expression:
[tex]2n+1[/tex]
2. The problem says the measures of the interior angles of convex quadrilateral are four consecutive odd numbers. By definition, the sum of the interior angles of a convex quadrilateral is [tex]360 degrees[/tex].
3. Therefore, you have:
[tex](2n+1)+(2n+3)+(2n+5)+(2n+7)=360[/tex]
4. Now, solve for n:
[tex]8n+16=360 \\ n=43 [/tex]
5. The measure of the largest angle is:
[tex]=2n+7 \\ =2(43)+7 \\ =93 degrees[/tex]
The answer is: [tex]93 degrees
[/tex]
