If two complimentary angles differ by 55∘55 ∘ , then one of the angle isa115.5∘115.5 ∘ b116.5∘116.5 ∘ c117.5∘117.5 ∘ d118.5∘118.5 ∘

The question seems to be incomplete. However, I can provide a solution based on the information given.

Complementary angles are two angles that add up to 90 degrees. If two complementary angles differ by 55 degrees, we can set up the following equations to find the angles:

Let's denote the smaller angle as x. Then the larger angle would be x + 55 (since they differ by 55 degrees).

Since they are complementary, their sum should be 90 degrees. So we can write the equation:

x + (x + 55) = 90

Solving this equation will give us the value of x, which is the smaller angle. The larger angle can then be found by adding 55 to x.

However, none of the options provided (115.5, 116.5, 117.5, 118.5) seem to fit this scenario. It seems there might be a mistake in the question or the provided options.