Question

Two angles are complementary if their sum is 90°. If the measure of the first angle is x°, and
the measure of the second angle is (3x - 2)°, find the measure of each angle.

Answer 1

Answer:

        The first angle is 23°, the second angle is 67°

Step-by-step explanation:

x°   - measure of first angle

(3x-2)° - measure of second angle

Their sum is 90° so

x + 3x - 2 = 90

         +2       +2

     4x  =  92

      ÷4     ÷4

      x = 23

3x-2 = 3•23 - 2 = 69 - 2 = 67

Checking:  23+67 = 90