A figure displays two adjacent complementary angles with measures%C2%A0 (x+3) ° and (4x−2)° . What is the equation of the angles measures?
Complementary angles add up to 90 degrees.
So the equation would be:
(x + 3) + (4x - 2) = 90
Simplifying the equation gives:
5x + 1 = 90
Subtracting 1 from both sides gives:
5x = 89
Finally, dividing by 5 gives:
x = 17.8
Therefore, the two angles are:
(x + 3) = 17.8 + 3 = 20.8 degrees
(4x - 2) = 4(17.8) - 2 = 71.2 degrees