Final answer:
To solve for x in the angle BEC of a square, which is given as 3x+30, we use the fact that the diagonals of a square bisect each other at right angles. Therefore, the angle BEC is 45 degrees. By setting up an equation and solving for x, we find that x equals 5.
Step-by-step explanation:
The question is asking to solve for the value of x in the equation of the angle BEC of a square, which is given as 3x+30. In a square, both diagonals are equal in length and bisect each other at right angles, forming four right-angled triangles within the square. The angle BEC is half of the right angle, therefore it's 45 degrees.
To find the value of x, we set up the following equation:
3x + 30 = 45
Subtracting 30 from both sides of the equation gives us:
3x = 15
Dividing both sides by 3 gives us the value of x:
x = 5