A figure displays two adjacent complementary angles with measures (x+3) and (4x-2) what is the equation of the angles measures?
To find the equation of the angle measures, we need to set up the condition that the angles are complementary.
Complementary angles sum up to 90 degrees.
So, we have the equation:
(x + 3) + (4x - 2) = 90
Simplifying the equation:
5x + 1 = 90
Subtracting 1 from both sides:
5x = 89
Dividing both sides by 5:
x = 17.8
So, one angle measure is x + 3 = 17.8 + 3 = 20.8 degrees
And the other angle measure is 4x - 2 = 4(17.8) - 2 = 71.2 degrees
Therefore, the equation of the angle measures is 20.8 and 71.2.