Option D:
x = 8
Solution:
Given data:
m∠FGH = 148°
, m∠FGL = (x + 12)° and m∠LGH = (16x)°
To find the value of x:
m∠FGL + m∠LGH = m∠FGH
⇒ (x + 12)° + (16x)° = 148°
⇒ x° + 12° + 16x° = 148°
⇒ 17x° + 12° = 148°
Subtract 12° from both sides of the equation.
⇒ 17x° = 136°
Divide by 17 on both sides, we get
⇒ x° = 8°
⇒ x = 8
Option D is the correct answer.
