Two complementary angles have measured (4x) degree and (2x) degree. What is the value of x and the two angle measures?
x = ____, (4x) degree = ____ degree, and (2x) degree = ___\ degree
Let's start by setting up an equation using the fact that complementary angles add up to 90 degrees.
The equation is: 4x + 2x = 90
Combining like terms, we get: 6x = 90
To solve for x, we divide both sides of the equation by 6: x = 90/6 = 15
Therefore, x = 15.
Now, we can substitute x back into the equation to find the angle measures:
(4x) degree = 4 * 15 = 60 degrees
(2x) degree = 2 * 15 = 30 degrees
So, x = 15, (4x) degree = 60 degrees, and (2x) degree = 30 degrees.