SOLUTION: The degree measure of an angle and its complement are consecutive even integers find the measure of each angle.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The degree measure of an angle and its complement are consecutive even integers find the measure of each angle.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 152774: The degree measure of an angle and its complement are consecutive even integers find the measure of each angle.
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the measure of the smaller angle, then the larger one is n + 2.
As their sum is 180, we can set up an equation:
n + n + 2 = 180
Solving for n, we have
2n + 2 = 180
2n = 178
n = 89
So one angle is 89 degrees, another one is n + 2 = 89 + 2=91 degrees.