Answer:
x = 20°
Explanation:
- Find the sum of angles of pentagon.
Sum of all angles of n-sided polygon = 180*(n-2)
n = number of sides = 5
Sum of all angles of pentagon = 180 * 3
= 540°
- ∠A + ∠B + ∠C + ∠D + ∠E = 540
5x + 2 + 3x + 5 + 8x + 8 + 4x + 15 + 5x + 10 = 540
5x + 3x + 8x + 4x+ 5x + 2 + 5 + 8 + 15 + 10 = 540
25x + 40 = 540
- Subtract 40 from both sides,
25x = 540 - 40
25x = 500

Answer: x = 20°