x ° = 9.125°
Explanation:
In the question figure,
∠ 1 = 115 °, ∠ 2 = 115 °, ∠ 3 = 120 °, ∠ 4 = 14x °, ∠ 5 = 133 °, ∠ 6 = 167 °, ∠ 7 = 138° and ∠ 8 = 18x °
To find, the value of x = ?
We know that,
The sum of all angles of heptagon = 1080°
∴ ∠ 1 + ∠ 2 + ∠ 3 + ∠ 4 + ∠ 5 + ∠ 6 + ∠ 7 + ∠ 8 = 1080°
⇒ 115 ° + 115 ° + 120 ° + 14x ° + 133 ° + 167 ° + 138° + 18x ° = 1080°
⇒ 32x ° + 788° = 1080°
⇒ 32x ° = 1080° - 788° = 292°
⇒ x ° = 9.125°
∴ x ° = 9.125°