A figure shows two nonadjacent angles with measures (2x+3)° and 2x°. If the angles are complementary, what is the equation for the angle measures?(1 point)

1 answer

When two angles are complementary, their measures add up to 90 degrees.

So, the equation for the angle measures is:

(2x + 3) + 2x = 90

Combining like terms, we get:

4x + 3 = 90

Subtracting 3 from both sides, we have:

4x = 87

Dividing both sides by 4, we get:

x = 21.75

Therefore, the equation for the angle measures is:

(2(21.75) + 3)° and 2(21.75)°.