Answer: The value of x is -134°.
Step-by-step explanation: To solve for x, we need to use the properties of angles in a triangle and the fact that the angles in a triangle add up to 180 degrees.
Given:
Angle K = 46°
Angle M = 58°
Angle L = 76°
Angle P = 58°
Angle N = 76°
To find x, we can use the fact that the sum of the angles in a triangle is 180 degrees.
1. Calculate the sum of the known angles:
46° + 58° + 76° + 58° + 76° = 314°
2. Subtract the sum of the known angles from 180 degrees to find the value of x:
180° - 314° = -134°
The value of x is -134°.
Please note that the result obtained is negative, which indicates that the angles provided in the diagram may not form a valid triangle. It is important to check if the given angles accurately represent a triangle.