A figure displays two adjacent complementary angles with measures (x+3) and (4x-2). What is the equation of the angles measures? (1 point)

1 answer

The sum of complementary angles is always equal to 90 degrees.

Therefore, we can write the equation:

(x + 3) + (4x - 2) = 90

Simplify:

5x + 1 = 90

Now, solve for x:

5x = 89

x = 17.8

Therefore, the two angles measures are:

(x + 3) = 17.8 + 3 = 20.8 degrees
(4x - 2) = 4(17.8) - 2 = 71.2 degrees