Answer:
x = 23°
Step-by-step explanation:
Looking at the diagram above, we can see that it is Pentagon.
The sum of interior angles in a Pentagon (5 sides polygon) = 540°
This is because in a Pentagon, from the vertex we can draw 2 diagonals that would result in 3 triangles.
Sum of angles in a triangle = 180°
Hence, the sum of angles in a Pentagon = 3 × 180°
= 540°
Hence,
540° = 85° + 5x° + 5x° + 5x + 5° + 5x - 10°
540° = 85° + 5° - 10°+ 5x° + 5x° + 5x° + 5x°
540° = 80° + 20x°
540° - 80° = 20x°
460° = 20x°
x° = 460/20
x = 23°
Therefore, the value of x = 23°