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)

Answer 1

If the angles are complementary, then their measures must add up to 90 degrees.

Therefore, we can set up the equation as follows:

(2x + 3) + (2x) = 90

Simplifying the equation:

4x + 3 = 90

Subtracting 3 from both sides:

4x = 87

Finally, dividing both sides by 4:

x = 21.75

So the equation for the angle measures is:

(2x + 3) and 2x

Plugging in the value of x:

(2(21.75) + 3) and 2(21.75)

= (43.5 + 3) and 43.5

= 46.5 and 43.5