A figure displays two nonadjacent angles with measures (×+2)° and (2x-4)°. If the two angles are complementary, what is the written equation?

Answer 1

Since the two angles are complementary, the sum of their measures should be 90 degrees.

So we can set up the equation:

(× + 2)° + (2x - 4)° = 90°

Now we can solve for x.

× + 2 + 2x - 4 = 90

3x - 2 = 90

3x = 92

x = 92/3

The written equation is (× + 2)° + (2x - 4)° = 90°.