133k views
6 votes
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. Find the measure of one interior angle in the regular polygon.

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. Find the measure of-example-1

2 Answers

10 votes

Answer:


60 \textdegree

Skills needed: Geometry

Explanation:

1) We are given a regular triangle.

A regular triangle is the same as an equilateral triangle. This means that:

--> All sides are of equal length (congruent)

--> All angles are of same measure (congruent)

-------------------------------------------------------------------------------------------------------------Another thing to remember is that the sum of all angles in a triangle is 180 DEGREES.

------------------------------------------------------------------------------------------------------------- 2) Let's make an equation:

Let's make one of the angles a variable:
y

ALL the angles of the triangle will have a measure of "
y", which means that each of the angles equals
y.

---> Sum of all angles (IN VARIABLE TERMS):
y+y+y=3y (1y+1y+1y = 3y)

ALSO:

- Sum of all angles is 180. This can be the right side of the equation.


3y = 180 is our equation based on all the information above.

We want to then isolate
, so we have to divide by 3.


3y / 3=180 / 3


3y / 3=y, 180 / 3 = 60 (doing both division problems)

This means that:
y=60

60 should be the answer.

User Francesco Ceravolo
by
8.3k points
9 votes
60 degrees
Total is 180
So 180/3=60
User Pva
by
7.3k 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