Which THREE statements are correct for the angles shown on the figure? A) x° + 4x° - 85° = 90°
B) x° + 4x° - 85° = 180°
C) ∠ABD and ∠CBD are supplementary
D) ∠ABD = 35°
E) ∠CBD = 55°

pls help!!

A D E

Step-by-step explanation:

the figure shows that ABC is 90 degrees. So the two smaller angles add to 90 making A correct. (B isn't for obvious reasons - 180 is not 90.)

x + 4x - 85 = 90               Solve this to find the other 2 correct statements

5x - 85 = 90                    Add 85 to both sides.

5x = 90 + 85                    Combine

5x = 175                            Divide by 5

5x/5 = 175/5

x = 35

Since ABD is a single x, that statement (D) is true.

4x - 85 = 4*35 - 85 = 140 - 85 = 55 which makes E true as well

Each of these is a polynomial.

A polynomial is the sum or difference of one or more monomials.  A monomial is a variable, a constant, or the product of variables and constants.  Each of these is a monomial, so it is a polynomial as well.