Question

Solve for x in the diagram below.
200
(3x + 10°

Answer 1

`\boxed{x\degree = 20\degree}`

Explanation:

Two Angles are Complementary when they add up to 90° (a Right Angle).

`= > x\degree + (3x + 10)\degree = 90\degree \\ \\ = > x\degree + 3x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree = 90\degree - 10\degree \\ \\ = > 4x\degree = 80\degree \\ \\ = > x\degree = (80)/(4) \degree \\ \\ = > x\degree = 20\degree`

Answer 2

x = 20°

Explanation:

4x + 10 = 90

4x = 80

x = 20