I figured displayed two non-adjacent angles with measures of X +2° and 2X -4° if the two angles are complementary, what is the written quotient

1 answer

The sum of two complementary angles is always 90 degrees. Therefore, we can set up the equation:

X + 2 + 2X - 4 = 90

Combining like terms, we get:

3X - 2 = 90

Adding 2 to both sides, we get:

3X = 92

Dividing both sides by 3, we get:

X = 92 / 3 = 30.67

Therefore, the two angles are:

X + 2 = 30.67 + 2 = 32.67 degrees

2X - 4 = 2(30.67) - 4 = 61.34 - 4 = 57.34 degrees

The written quotient of the two angles (32.67 / 57.34) is approximately 0.569 or 56.9%.