Question

What is the value of x?

Answer 1

Answer:

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

Step-by-step 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).

$= > 57 \degree + (3x + 6) \degree = 90 \degree \\ \\ = > 57 \degree + 3x \degree + 6 \degree = 90 \degree \\ \\ = > 63 \degree + 3x \degree = 90 \degree \\ \\ = > 3x \degree = 90 \degree - 63 \degree \\ \\ = > 3x \degree = 27 \degree \\ \\ = > x\degree = \frac{27}{3}\degree \\ \\ = > x\degree = 9\degree$

Answer 2

57+3x+6=90degree

60+3x=90

3x=90-60

3x=30

x=30/3

x=10