a figure displays two adjacent complementary angles with measures (x + 3) ° and (4x - 2) °. whag is the equation of the angle measures?

Answer 1

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 °