Question

B. The sum of the measuresof two complimentaryangles is 90°. Find themeasure of the anglelabeled x.

Answer 1

B)

Given that angles (3x -10) and x are complementary, then we can write the following equation:

(3x -10) + x = 90º Definition of Complementary angles

3x-10 +x = 90º Combine like terms

4x -10 = 90 Add 10 to both sides

4x=100 Divide both sides by 4

x=25º

2) So , Angle x = 25º and m angle 3x- 10 is 65º