Final answer:
By using the sum of angles in a triangle, the equation is formed and simplified to find that the value of x is 12.
Step-by-step explanation:
The question asks to find the value of x when the angles of a triangle are given as B = 90 degrees, A = (2x+1) degrees, and C = (5x+5) degrees. We know that the sum of the angles in a triangle is always 180 degrees. By setting up the equation A + B + C = 180 and substituting the given values, we get:
(2x+1) + 90 + (5x+5) = 180
Simplifying, we combine like terms:
2x + 5x + 1 + 5 + 90 = 180
7x + 96 = 180
Subtracting 96 from both sides:
7x = 180 - 96
7x = 84
Finally, dividing both sides by 7:
x = 84 / 7
x = 12
Hence, the value of x is 12.