A figure displays two nonadjacent angels with measures (x + 2) and (2x - 4) if the two angles are complementary, what is the written equation

Answer 1

If two angles are complementary, their measures add up to 90 degrees. Given that the measures of the two angles are \( (x + 2) \) and \( (2x - 4) \), you can set up the equation as follows:

\[ (x + 2) + (2x - 4) = 90 \]

You can simplify and solve this equation:

1. Combine like terms: \[ x + 2 + 2x - 4 = 90 \] \[ 3x - 2 = 90 \]

2. Add 2 to both sides: \[ 3x = 92 \]

3. Divide by 3: \[ x = \frac{92}{3} \]

So, the equation representing that the two angles are complementary is:

\[ (x + 2) + (2x - 4) = 90 \]