Answer: x = 10°
Explanation:
The angles shown are vertical angles.
Vertical angles are angles created by the same lines' shared vertex. The measurements of vertical angles are equal, therefore if one angle is 63 degrees, the other angle will also be 63 degrees.
To represent this algebraically,
63° = (6x + 3)°
To find the value of x, you must isolate the variable, x. To do this, subtract 3 from both sides, then divide by 6.
63° = (6x + 3)°
-3° -3°
60° = 6x
/6 /6
x = 10°