a figure displays two adjacent complementary angles with measures (x + 3) ° and (4x - 2) °. whag is the equation of the angle measures?
The sum of two adjacent complementary angles is always equal to 90 degrees.
So, according to the information given, we can write the equation:
(x + 3) + (4x - 2) = 90
Now, let's solve this equation:
5x + 1 = 90
5x = 89
x = 89/5
Thus, the measures of the angles are:
(x + 3) = (89/5 + 3) = (89 + 15)/5 = 104/5
(4x - 2) = (4 * 89/5 - 2) = (356/5 - 2) = 356/5 - 10/5 = 346/5
Therefore, the equation of the angle measures is:
(x + 3) ° = 104/5 °
(4x - 2) ° = 346/5 °