Question

Suppose the measures of the interior angles of convex quadrilateral are four consecutive odd numbers. find the measure of the largest angle.

Answer 1

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:
 $2n+1$
 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 $360 degrees$.
 3. Therefore, you have:
 $(2n+1)+(2n+3)+(2n+5)+(2n+7)=360$
 4. Now, solve for n:
 $8n+16=360 \\ n=43$
 5. The measure of the largest angle is:
 $=2n+7 \\ =2(43)+7 \\ =93 degrees$
 The answer is: $93 degrees$