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

Answer 1

Since the two angles are complementary, their measures must add up to 90 degrees.

So, we have the equation:

(2x + 3) + 2x = 90

Simplifying, we get:

4x + 3 = 90

Now, we can solve this equation for x by subtracting 3 from both sides:

4x = 87

Finally, we divide both sides by 4 to solve for x:

x = 21.75

Therefore, the equation for the angle measures is:

Angle 1 = 2x + 3 = 2(21.75) + 3 = 45.5 degrees
Angle 2 = 2x = 2(21.75) = 43.5 degrees