A figure displays two adjacent complementary angles with measures (x + 3) degrees and (4x - 2) degree. What is the equation of the angles measures?
(x + 3) degree + (____) degree = ___ degree
To find the equation for the angles, we need to set up the equation for complementary angles, where the sum of the measures of the two angles is 90 degrees.
So, the equation would be:
(x + 3) + (4x - 2) = 90
Simplifying the equation, we add the like terms:
5x + 1 = 90
To isolate 5x, we subtract 1 from both sides:
5x = 89
Finally, we divide both sides by 5 to solve for x:
x = 89/5
Therefore, the equation for the angle measures is:
(x + 3) + (4x - 2) = 90
(89/5 + 3) + (4(89/5) - 2) = 90