Question

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!!

Answer 1

A D E

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