Question

What is the value of x?

Answer 1

57+3x+6=90degree

60+3x=90

3x=90-60

3x=30

x=30/3

x=10

Answer 2

`\boxed{x \degree = 9 \degree}`

Explanation:

`= > 90\degree + 57\degree + (3x + 6)\degree = 180\degree \\ \\ = > 57\degree + (3x + 6)\degree = 180\degree - 90\degree \\ \\ = > 57\degree + (3x + 6)\degree = 90\degree`

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

`= > 57 \degree + (3x + 6) \degree = 90 \degree \\ \\ = > 57 \degree + 3x \degree + 6 \degree = 90 \degree \\ \\ = > 63 \degree + 3x \degree = 90 \degree \\ \\ = > 3x \degree = 90 \degree - 63 \degree \\ \\ = > 3x \degree = 27 \degree \\ \\ = > x\degree = (27)/(3)\degree \\ \\ = > x\degree = 9\degree`