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
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