peyton3825
Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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

Find The Missing Angle For The Irregular Polygon Show Your Work class=

Sagot :

JennyTheBest813

Answer:

Sum of the interior angles=900º

x=80º

∠A=110º

∠C=130º

∠E=125º

Step-by-step 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

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.