Answer:
x = 18
Explanation:
The given angles are,
→ x - 6
→ 8x + 24
We generally know that,
→ Sum of angles in straight line is 180°.
Forming the equation,
→ (8x + 24) + (x - 6) = 180
Now required value of x will be,
→ (8x + 24) + (x - 6) = 180
→ 8x + 24 + x - 6 = 180
→ (8x + x) + (24 - 6) = 180
→ 9x + 18 = 180
→ 9x = 180 - 18
→ 9x = 162
→ x = 162 ÷ 9
→ [ x = 18 ]
Therefore, the value of x is 18.