Figure ABCD is a square. Angle B measures (15x-13)Find the value of x.
15x - 13 = 90
Solve for x
To find the value of x, we need to use the fact that the sum of the angles in a square is always 360 degrees.
In a square, all four angles are equal, so we can set up an equation.
Angle B = 15x - 13
Since the sum of all four angles in a square is 360 degrees, the equation becomes:
(15x - 13) + (15x - 13) + (15x -13) + (15x - 13) = 360
To simplify the equation, we can combine like terms:
60x - 52 = 360
Next, we isolate the variable term by moving the constant term to the other side:
60x = 360 + 52
Combine like terms:
60x = 412
Finally, solve for x by dividing both sides of the equation by 60:
x = 412/60
Simplifying the expression gives:
x ≈ 6.87
Therefore, the value of x is approximately 6.87.