A figure display to non-adjacent angles with measure 3x and (4x + 1) if the angles are complementary is the simplified equation corresponding to the measure of the angle

1 answer

If the angles are complementary, their measures add up to 90°. Therefore, we have the equation:

3x + (4x + 1) = 90

Simplifying this equation, we get:

7x + 1 = 90

Subtracting 1 from both sides, we have:

7x = 89

Dividing both sides by 7, we find:

x = 89/7

Therefore, the measure of the angle is 3x = 3 * (89/7) = 267/7, or approximately 38.14 degrees.