I figured displayed two adjacent complementary angles with measures of X +3° and 4X -2° what is the equation of the angle measures?

Answer 1

To find the equation for the angle measures, we can set up the following equation:

(X + 3°) + (4X - 2°) = 180°

Combining like terms, we have:

5X + 1° = 180°

Subtracting 1° from both sides:

5X = 179°

Dividing both sides by 5:

X = 35.8°

Therefore, one angle is (X + 3°) = 35.8° + 3° = 38.8°, and the other angle is (4X - 2°) = 4(35.8°) - 2° = 143.2° - 2° = 141.2°.

The equation for the angle measures is:

38.8° and 141.2°