174k views
4 votes
Find the measures of the interior angles.how do you find the measures of the interior angles ​

1 Answer

6 votes

Answer:

'm guessing you mean with parallels and a transversal. If this is the case, then find he angle that is either

a; supplementary (creating a flat angle, 180 degrees) or

b; complimentary (creating a 90 degree angle)

Explanation:

subtract the supplementary/complimentary angle from either 180 or 90 and the difference is your answer. Hope I helped!

* * * * *

More likely the question is concerned with the interior angles of a polygon. If the polygon is irregular then there is no simple answer. An interior angle can have any value.

However, if it is a regular polygon then the question can be answered. The sum of all the exterior angles is 360 degrees - irrespective of the number of sides (or vertices). Suppose the polygon has n sides/vertices.

Then, since it is regular, each exterior angle is 360/n. Therefore, each interior angle is 180-360/n degrees.

User Igrinis
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories