Final answer:
To find the value of x in the given triangle, use the fact that the sum of the angles in a triangle is 180 degrees and solve the equation A + B + x = 180.
Step-by-step explanation:
To find the value of x in the given triangle, we need to use the fact that the sum of the angles in a triangle is 180 degrees. Let's denote the angles in the triangle as A, B, and x. We know that A = 58 degrees and B = 87 degrees.
Since the sum of the angles is 180 degrees, we can write the equation: A + B + x = 180. Substitute the known values into the equation: 58 + 87 + x = 180.
Solve the equation to find x: 145 + x = 180. Subtract 145 from both sides: x = 180 - 145. Therefore, x = 35.
The value of x in the triangle is 35.