Pre - Algebra Measurement of triangle angle

Question

The measures of an angle are represented by n*, n*, and 4n*. Find the measure of n.

Answer 1

The Sum of the interior angle measures of ANY triangle is 180 degrees. Since all of your variables are the same (n) you can combine them. n+n+4n = 180

Thus 6n = 180

Divide.both sides by the numerical coefficient of n (6) and you have solved for n n= 30

Substitute 30 for n and you have angles of 30, 30, and 120.

To check your answer add the angle measures to see if their sum is 180 which it is. Hope this helped.