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

1 answer

If two angles are complementary, their measures add up to 90 degrees.
In this case, we have the following equation:

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

Simplifying the equation, we have:

3x - 2 = 90

Adding 2 to both sides:

3x = 92

Dividing both sides by 3:
x = 92/3

So, the written equation is 3x - 2 = 90.