Question

Find the missing angle for the irregular polygon. show your work.

Answer 1

Sum of the interior angles=900º

x=80º

∠A=110º

∠C=130º

∠E=125º

Explanation:

The shape is a heptagon. Meaning, the sum of the interior angles is 180º(n-2) where n is the number of sides. So, 180º(7-2)=180º(5)=900º.

So, we can add up all the angles.

x+30º+140º+x+50º+115º+x+45º+140º+140º=900º

3x+660º=900º

3x=240º

x=80º

Then, we can substitute for ∠A, ∠C, and ∠E

∠A=80+30=110º

∠C=80+50=130º

∠E=80+45=125º