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)
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