A figure displays two nonadjacent angles indicated as 3x° and (4x+1)°. If the angles are complementary, what is the simplified equation for the angles?(1 point)

Answer 1

Since the angles are complementary, we have:

3x° + (4x+1)° = 90°

Simplifying this equation gives:

7x + 1 = 90

Subtracting 1 from both sides:

7x = 89

Dividing both sides by 7:

x = 12.71 (rounded to two decimal places)

Therefore, the simplified equation for the angles is:

3x° = 3(12.71)° ≈ 38.13°

(4x+1)° = (4(12.71)+1)° ≈ 51.88°

So the angles are approximately 38.13° and 51.88°.