An angle is 20∘20 ∘ more than 44 times the given angle. If the two angles are supplementary, the smaller angle is equal to _________.

Let's denote the smaller angle as x. According to the problem, the larger angle is 44x + 20 degrees.

Since the two angles are supplementary, their sum is 180 degrees. Therefore, we can write the equation:

x + 44x + 20 = 180

Solving this equation will give us the value of x, which is the smaller angle.

First, combine like terms:

45x + 20 = 180

Then, subtract 20 from both sides of the equation:

45x = 160

Finally, divide both sides by 45 to solve for x:

x = 160 / 45 ≈ 3.56 degrees

So, the smaller angle is approximately 3.56 degrees.