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

Skills needed: Geometry

Step-by-step 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:

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

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

ALSO:

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

is our equation based on all the information above.

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

(doing both division problems)

This means that:

60 should be the answer.

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared